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Finding the Fourth Proportional to 396,781.30, 595,211.19 and 130,433.86

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Solution

The fourth proportional to 396,781.30, 595,211.19 and 130,433.86 is: 195,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,781.30 : 595,211.19 = 130,433.86 : x
  2. Step 2: Convert to fraction form
    396,781.30/595,211.19 = 130,433.86/x
  3. Step 3: Cross multiply
    396,781.30x = 595,211.19 × 130,433.86
  4. Step 4: Simplify right side
    396,781.30x = 77,635,693,026.89
  5. Step 5: Solve for x
    x = 77,635,693,026.89/396,781.30
  6. Step 6: Final answer
    x = 195,663.69

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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.