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Finding the Fourth Proportional to 381,631.23, 572,709.32 and 132,313.23

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Solution

The fourth proportional to 381,631.23, 572,709.32 and 132,313.23 is: 198,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,631.23 : 572,709.32 = 132,313.23 : x
  2. Step 2: Convert to fraction form
    381,631.23/572,709.32 = 132,313.23/x
  3. Step 3: Cross multiply
    381,631.23x = 572,709.32 × 132,313.23
  4. Step 4: Simplify right side
    381,631.23x = 75,777,019,980.30
  5. Step 5: Solve for x
    x = 75,777,019,980.30/381,631.23
  6. Step 6: Final answer
    x = 198,560.85

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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.