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Finding the Fourth Proportional to 610,689.38, 916,039.94 and 231,508.13

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Solution

The fourth proportional to 610,689.38, 916,039.94 and 231,508.13 is: 347,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,689.38 : 916,039.94 = 231,508.13 : x
  2. Step 2: Convert to fraction form
    610,689.38/916,039.94 = 231,508.13/x
  3. Step 3: Cross multiply
    610,689.38x = 916,039.94 × 231,508.13
  4. Step 4: Simplify right side
    610,689.38x = 212,070,687,776.97
  5. Step 5: Solve for x
    x = 212,070,687,776.97/610,689.38
  6. Step 6: Final answer
    x = 347,264.41

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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.