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Finding the Fourth Proportional to 458,414.64, 687,626.70 and 138,569.16

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Solution

The fourth proportional to 458,414.64, 687,626.70 and 138,569.16 is: 207,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,414.64 : 687,626.70 = 138,569.16 : x
  2. Step 2: Convert to fraction form
    458,414.64/687,626.70 = 138,569.16/x
  3. Step 3: Cross multiply
    458,414.64x = 687,626.70 × 138,569.16
  4. Step 4: Simplify right side
    458,414.64x = 95,283,854,212.57
  5. Step 5: Solve for x
    x = 95,283,854,212.57/458,414.64
  6. Step 6: Final answer
    x = 207,855.17

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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.