In California, property taxes are based on the last sales price of the home. In LA county, annual taxes are about $1300 per $100,000 of last sales price. It does not matter what other homes are selling for in the neighborhood.
Just out of interest I worked out a typical figure for the UK might be $3000 for an ordinary three bed semi, which works out much the same given typical house prices, but it's not based on prices but bands, so $3000 is pretty similar everywhere, but house prices vary.