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Finding the Fourth Proportional to 381,925.92, 572,889.12 and 145,213.92

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Solution

The fourth proportional to 381,925.92, 572,889.12 and 145,213.92 is: 217,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,925.92 : 572,889.12 = 145,213.92 : x
  2. Step 2: Convert to fraction form
    381,925.92/572,889.12 = 145,213.92/x
  3. Step 3: Cross multiply
    381,925.92x = 572,889.12 × 145,213.92
  4. Step 4: Simplify right side
    381,925.92x = 83,191,474,840.55
  5. Step 5: Solve for x
    x = 83,191,474,840.55/381,925.92
  6. Step 6: Final answer
    x = 217,820.97

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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.