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Finding the Fourth Proportional to 417,689.40, 626,534.10 and 137,215.80

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Solution

The fourth proportional to 417,689.40, 626,534.10 and 137,215.80 is: 205,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,689.40 : 626,534.10 = 137,215.80 : x
  2. Step 2: Convert to fraction form
    417,689.40/626,534.10 = 137,215.80/x
  3. Step 3: Cross multiply
    417,689.40x = 626,534.10 × 137,215.80
  4. Step 4: Simplify right side
    417,689.40x = 85,970,377,758.78
  5. Step 5: Solve for x
    x = 85,970,377,758.78/417,689.40
  6. Step 6: Final answer
    x = 205,823.70

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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.