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Finding the Fourth Proportional to 391,278.52, 586,746.86 and 138,475.02

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Solution

The fourth proportional to 391,278.52, 586,746.86 and 138,475.02 is: 207,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,278.52 : 586,746.86 = 138,475.02 : x
  2. Step 2: Convert to fraction form
    391,278.52/586,746.86 = 138,475.02/x
  3. Step 3: Cross multiply
    391,278.52x = 586,746.86 × 138,475.02
  4. Step 4: Simplify right side
    391,278.52x = 81,249,783,519.62
  5. Step 5: Solve for x
    x = 81,249,783,519.62/391,278.52
  6. Step 6: Final answer
    x = 207,652.04

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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.