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Finding the Fourth Proportional to 396,882.72, 547,381.17 and 261,055.98

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Solution

The fourth proportional to 396,882.72, 547,381.17 and 261,055.98 is: 360,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,882.72 : 547,381.17 = 261,055.98 : x
  2. Step 2: Convert to fraction form
    396,882.72/547,381.17 = 261,055.98/x
  3. Step 3: Cross multiply
    396,882.72x = 547,381.17 × 261,055.98
  4. Step 4: Simplify right side
    396,882.72x = 142,897,127,767.90
  5. Step 5: Solve for x
    x = 142,897,127,767.90/396,882.72
  6. Step 6: Final answer
    x = 360,048.75

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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.