Finding the Fourth Proportional to 468,471,560.30, 646,490,760.17 and 259,641,155.05
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Solution
The fourth proportional to 468,471,560.30, 646,490,760.17 and 259,641,155.05 is: 358,304,797.82
Step by Step Solution
- Step 1: Write the proportion equation
468,471,560.30 : 646,490,760.17 = 259,641,155.05 : x - Step 2: Convert to fraction form
468,471,560.30/646,490,760.17 = 259,641,155.05/x - Step 3: Cross multiply
468,471,560.30x = 646,490,760.17 × 259,641,155.05 - Step 4: Simplify right side
468,471,560.30x = 167,855,607,699,691,328 - Step 5: Solve for x
x = 167,855,607,699,691,328/468,471,560.30 - Step 6: Final answer
x = 358,304,797.82
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.