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Finding the Fourth Proportional to 417,398.36, 625,966.14 and 136,850

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Solution

The fourth proportional to 417,398.36, 625,966.14 and 136,850 is: 205,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,398.36 : 625,966.14 = 136,850 : x
  2. Step 2: Convert to fraction form
    417,398.36/625,966.14 = 136,850/x
  3. Step 3: Cross multiply
    417,398.36x = 625,966.14 × 136,850
  4. Step 4: Simplify right side
    417,398.36x = 85,663,466,259
  5. Step 5: Solve for x
    x = 85,663,466,259/417,398.36
  6. Step 6: Final answer
    x = 205,231.92

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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.