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Finding the Fourth Proportional to 391,724.20, 586,031.10 and 339,711.40

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Solution

The fourth proportional to 391,724.20, 586,031.10 and 339,711.40 is: 508,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,724.20 : 586,031.10 = 339,711.40 : x
  2. Step 2: Convert to fraction form
    391,724.20/586,031.10 = 339,711.40/x
  3. Step 3: Cross multiply
    391,724.20x = 586,031.10 × 339,711.40
  4. Step 4: Simplify right side
    391,724.20x = 199,081,445,424.54
  5. Step 5: Solve for x
    x = 199,081,445,424.54/391,724.20
  6. Step 6: Final answer
    x = 508,218.40

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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.