The OP suggested that the man pay for the first three dates, and afterwards go dutch treat. I can see so many ways that this could go wrong. It sets a precedent, and the only way to suddenly change the rules at date four is to bluntly tell her that from here on in, she's paying her own way, which could make her think that your feelings have changed. Go dutch from the start, or plan on paying for all dates indefinitely.
Like some others have said, dates don't have to cost anything at all. If you're set on meeting up at a restaurant, choose atmosphere over swank. I can think of a dozen places in my neighborhood, off the top of my head, that are interesting, intimate, and beautiful, and also serve great food at a very reasonable price (around 10 US and up). But the person who makes the invite should at least offer to pay.
If you've had several such dates, and she's taken you up on the offer to pay each time with little or no resistance, you've got a red flag.
Further: the idea that a woman shouldn't have to pay for her food/ entertainment because she's possibly spent money on hair/ nails/ clothing for the date is silly. Very few women, even the very image- conscious, go to a stylist before a date. I do dress up (partly to show my interest, and partly because I think it's fun), but I can't remember a time when I bought a new outfit just for a guy. If I did, I surely wore it again. A man might but a certain car to impress women. Does this mean he should subtract that cost from his dating budget? Silly.
The great thing about money is that the more you have, the less you (ostensibly) have to think about it. It can't but happiness, it certainly can't buy love, but it can, and should, buy some measure of security. Anyone who looks at it otherwise isn't worth your energy.