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Finding the Fourth Proportional to 396,997.56, 595,161.54 and 172,188.72

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Solution

The fourth proportional to 396,997.56, 595,161.54 and 172,188.72 is: 258,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,997.56 : 595,161.54 = 172,188.72 : x
  2. Step 2: Convert to fraction form
    396,997.56/595,161.54 = 172,188.72/x
  3. Step 3: Cross multiply
    396,997.56x = 595,161.54 × 172,188.72
  4. Step 4: Simplify right side
    396,997.56x = 102,480,103,765.83
  5. Step 5: Solve for x
    x = 102,480,103,765.83/396,997.56
  6. Step 6: Final answer
    x = 258,137.87

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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.