Finding the Fourth Proportional to 511,201,337.60, 766,802,006.40 and 306,624,108.80
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Solution
The fourth proportional to 511,201,337.60, 766,802,006.40 and 306,624,108.80 is: 459,936,163.20
Step by Step Solution
- Step 1: Write the proportion equation
511,201,337.60 : 766,802,006.40 = 306,624,108.80 : x - Step 2: Convert to fraction form
511,201,337.60/766,802,006.40 = 306,624,108.80/x - Step 3: Cross multiply
511,201,337.60x = 766,802,006.40 × 306,624,108.80 - Step 4: Simplify right side
511,201,337.60x = 235,119,981,838,451,904 - Step 5: Solve for x
x = 235,119,981,838,451,904/511,201,337.60 - Step 6: Final answer
x = 459,936,163.20
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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.