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Finding the Fourth Proportional to 396,873.82, 547,691.70 and 215,589.16

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Solution

The fourth proportional to 396,873.82, 547,691.70 and 215,589.16 is: 297,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,873.82 : 547,691.70 = 215,589.16 : x
  2. Step 2: Convert to fraction form
    396,873.82/547,691.70 = 215,589.16/x
  3. Step 3: Cross multiply
    396,873.82x = 547,691.70 × 215,589.16
  4. Step 4: Simplify right side
    396,873.82x = 118,076,393,541.97
  5. Step 5: Solve for x
    x = 118,076,393,541.97/396,873.82
  6. Step 6: Final answer
    x = 297,516.21

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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.