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Finding the Fourth Proportional to 491,492.75, 737,416.61 and 171,691.85

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Solution

The fourth proportional to 491,492.75, 737,416.61 and 171,691.85 is: 257,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,492.75 : 737,416.61 = 171,691.85 : x
  2. Step 2: Convert to fraction form
    491,492.75/737,416.61 = 171,691.85/x
  3. Step 3: Cross multiply
    491,492.75x = 737,416.61 × 171,691.85
  4. Step 4: Simplify right side
    491,492.75x = 126,608,423,620.56
  5. Step 5: Solve for x
    x = 126,608,423,620.56/491,492.75
  6. Step 6: Final answer
    x = 257,599.78

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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.