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Finding the Fourth Proportional to 396,557.86, 547,020.78 and 253,156.27

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Solution

The fourth proportional to 396,557.86, 547,020.78 and 253,156.27 is: 349,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,557.86 : 547,020.78 = 253,156.27 : x
  2. Step 2: Convert to fraction form
    396,557.86/547,020.78 = 253,156.27/x
  3. Step 3: Cross multiply
    396,557.86x = 547,020.78 × 253,156.27
  4. Step 4: Simplify right side
    396,557.86x = 138,481,740,277.29
  5. Step 5: Solve for x
    x = 138,481,740,277.29/396,557.86
  6. Step 6: Final answer
    x = 349,209.42

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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.