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Finding the Fourth Proportional to 396,561.76, 547,251.42 and 215,269.78

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Solution

The fourth proportional to 396,561.76, 547,251.42 and 215,269.78 is: 297,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,561.76 : 547,251.42 = 215,269.78 : x
  2. Step 2: Convert to fraction form
    396,561.76/547,251.42 = 215,269.78/x
  3. Step 3: Cross multiply
    396,561.76x = 547,251.42 × 215,269.78
  4. Step 4: Simplify right side
    396,561.76x = 117,806,692,788.09
  5. Step 5: Solve for x
    x = 117,806,692,788.09/396,561.76
  6. Step 6: Final answer
    x = 297,070.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.