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Finding the Fourth Proportional to 396,524.28, 594,787.28 and 278,722.76

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Solution

The fourth proportional to 396,524.28, 594,787.28 and 278,722.76 is: 418,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,524.28 : 594,787.28 = 278,722.76 : x
  2. Step 2: Convert to fraction form
    396,524.28/594,787.28 = 278,722.76/x
  3. Step 3: Cross multiply
    396,524.28x = 594,787.28 × 278,722.76
  4. Step 4: Simplify right side
    396,524.28x = 165,780,752,294.49
  5. Step 5: Solve for x
    x = 165,780,752,294.49/396,524.28
  6. Step 6: Final answer
    x = 418,084.74

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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.