Globalization
A good question. Speaking of the Western culture dominance, I think there are some reasons behind. Since the West always puts it eyes first on new technologies, many of the great people come from there have invented a lot of new things that are practical for people to use, especially in our contemporary society. People always seek around for tools that are useful and easy to use, and those new technologies could actually provide it. When things become easier to use, which gives people lots of convenience, then normally people would say it is a good thing to use and they will use it from now on. This has nothing to do with where the things came from. Consequently, a lot of people cannot get rid of such new technologies now because no one would like to complicate his own life again. And this has given the rise to the Western culture. Somehow, I would conclude that the widespread culture dominance is inevitable. If other societies could think of other ways to make people's lives easier without such technologies, then the majority of people might change their ideas.