Finding the Fourth Proportional to 512,489,382.14, 769,960,451.70 and 328,617,105.63
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Solution
The fourth proportional to 512,489,382.14, 769,960,451.70 and 328,617,105.63 is: 493,712,033.66
Step by Step Solution
- Step 1: Write the proportion equation
512,489,382.14 : 769,960,451.70 = 328,617,105.63 : x - Step 2: Convert to fraction form
512,489,382.14/769,960,451.70 = 328,617,105.63/x - Step 3: Cross multiply
512,489,382.14x = 769,960,451.70 × 328,617,105.63 - Step 4: Simplify right side
512,489,382.14x = 253,022,175,087,221,440 - Step 5: Solve for x
x = 253,022,175,087,221,440/512,489,382.14 - Step 6: Final answer
x = 493,712,033.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.