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Finding the Fourth Proportional to 396,910.53, 595,070.55 and 172,229.09

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Solution

The fourth proportional to 396,910.53, 595,070.55 and 172,229.09 is: 258,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,910.53 : 595,070.55 = 172,229.09 : x
  2. Step 2: Convert to fraction form
    396,910.53/595,070.55 = 172,229.09/x
  3. Step 3: Cross multiply
    396,910.53x = 595,070.55 × 172,229.09
  4. Step 4: Simplify right side
    396,910.53x = 102,488,456,336.95
  5. Step 5: Solve for x
    x = 102,488,456,336.95/396,910.53
  6. Step 6: Final answer
    x = 258,215.51

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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.