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Finding the Fourth Proportional to 391,280.28, 586,749.51 and 138,476.75

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Solution

The fourth proportional to 391,280.28, 586,749.51 and 138,476.75 is: 207,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,280.28 : 586,749.51 = 138,476.75 : x
  2. Step 2: Convert to fraction form
    391,280.28/586,749.51 = 138,476.75/x
  3. Step 3: Cross multiply
    391,280.28x = 586,749.51 × 138,476.75
  4. Step 4: Simplify right side
    391,280.28x = 81,251,165,208.89
  5. Step 5: Solve for x
    x = 81,251,165,208.89/391,280.28
  6. Step 6: Final answer
    x = 207,654.64

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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.