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Finding the Fourth Proportional to 381,976.59, 527,096.84 and 220,842.02

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Solution

The fourth proportional to 381,976.59, 527,096.84 and 220,842.02 is: 304,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976.59 : 527,096.84 = 220,842.02 : x
  2. Step 2: Convert to fraction form
    381,976.59/527,096.84 = 220,842.02/x
  3. Step 3: Cross multiply
    381,976.59x = 527,096.84 × 220,842.02
  4. Step 4: Simplify right side
    381,976.59x = 116,405,131,922.91
  5. Step 5: Solve for x
    x = 116,405,131,922.91/381,976.59
  6. Step 6: Final answer
    x = 304,744.15

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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.