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Finding the Fourth Proportional to 521,670.52, 782,618.10 and 161,834.08

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Solution

The fourth proportional to 521,670.52, 782,618.10 and 161,834.08 is: 242,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,670.52 : 782,618.10 = 161,834.08 : x
  2. Step 2: Convert to fraction form
    521,670.52/782,618.10 = 161,834.08/x
  3. Step 3: Cross multiply
    521,670.52x = 782,618.10 × 161,834.08
  4. Step 4: Simplify right side
    521,670.52x = 126,654,280,204.85
  5. Step 5: Solve for x
    x = 126,654,280,204.85/521,670.52
  6. Step 6: Final answer
    x = 242,785.96

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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.