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Finding the Fourth Proportional to 379,098.65, 523,245.87 and 218,046.75

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Solution

The fourth proportional to 379,098.65, 523,245.87 and 218,046.75 is: 300,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,098.65 : 523,245.87 = 218,046.75 : x
  2. Step 2: Convert to fraction form
    379,098.65/523,245.87 = 218,046.75/x
  3. Step 3: Cross multiply
    379,098.65x = 523,245.87 × 218,046.75
  4. Step 4: Simplify right side
    379,098.65x = 114,092,061,404.42
  5. Step 5: Solve for x
    x = 114,092,061,404.42/379,098.65
  6. Step 6: Final answer
    x = 300,956.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.