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Finding the Fourth Proportional to 381,527.92, 572,391.66 and 221,449.96

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Solution

The fourth proportional to 381,527.92, 572,391.66 and 221,449.96 is: 332,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,527.92 : 572,391.66 = 221,449.96 : x
  2. Step 2: Convert to fraction form
    381,527.92/572,391.66 = 221,449.96/x
  3. Step 3: Cross multiply
    381,527.92x = 572,391.66 × 221,449.96
  4. Step 4: Simplify right side
    381,527.92x = 126,756,110,211.33
  5. Step 5: Solve for x
    x = 126,756,110,211.33/381,527.92
  6. Step 6: Final answer
    x = 332,232.86

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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.