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Finding the Fourth Proportional to 396,522.28, 594,784.28 and 278,720.76

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Solution

The fourth proportional to 396,522.28, 594,784.28 and 278,720.76 is: 418,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,522.28 : 594,784.28 = 278,720.76 : x
  2. Step 2: Convert to fraction form
    396,522.28/594,784.28 = 278,720.76/x
  3. Step 3: Cross multiply
    396,522.28x = 594,784.28 × 278,720.76
  4. Step 4: Simplify right side
    396,522.28x = 165,778,726,557.65
  5. Step 5: Solve for x
    x = 165,778,726,557.65/396,522.28
  6. Step 6: Final answer
    x = 418,081.74

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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.