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Finding the Fourth Proportional to 391,724.80, 586,906.80 and 180,930.40

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Solution

The fourth proportional to 391,724.80, 586,906.80 and 180,930.40 is: 271,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,724.80 : 586,906.80 = 180,930.40 : x
  2. Step 2: Convert to fraction form
    391,724.80/586,906.80 = 180,930.40/x
  3. Step 3: Cross multiply
    391,724.80x = 586,906.80 × 180,930.40
  4. Step 4: Simplify right side
    391,724.80x = 106,189,282,086.72
  5. Step 5: Solve for x
    x = 106,189,282,086.72/391,724.80
  6. Step 6: Final answer
    x = 271,081.34

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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.