Final answer:
The economic pillar not contributing to British Columbia's economic prosperity is its political influence. The key pillars are its natural resources, geographic location, and high-technology sector.
Step-by-step explanation:
The economic pillar not contributing to British Columbia's economic prosperity is its political influence. British Columbia's economy rests on its abundant natural resources, such as forestry, mining, and energy, which has been a key feature in the Canadian economy. Another pillar is its geographic location, which includes the Port of Vancouver, facilitating trade with the Pacific Rim and supporting industries like shipping and tourism. Additionally, the rise of the high-technology sector, with its close connections to academic research and innovation, contributes significantly to the province's economy. Political influence, while potentially impactful on an administrative level, is not considered a foundational economic pillar like the others listed.