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Finding the Fourth Proportional to 642,371.87, 886,072.16 and 413,227.88

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Solution

The fourth proportional to 642,371.87, 886,072.16 and 413,227.88 is: 569,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,371.87 : 886,072.16 = 413,227.88 : x
  2. Step 2: Convert to fraction form
    642,371.87/886,072.16 = 413,227.88/x
  3. Step 3: Cross multiply
    642,371.87x = 886,072.16 × 413,227.88
  4. Step 4: Simplify right side
    642,371.87x = 366,149,720,129.30
  5. Step 5: Solve for x
    x = 366,149,720,129.30/642,371.87
  6. Step 6: Final answer
    x = 569,996.51

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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.