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Finding the Fourth Proportional to 381,520.85, 572,275.45 and 128,978.74

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Solution

The fourth proportional to 381,520.85, 572,275.45 and 128,978.74 is: 193,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,520.85 : 572,275.45 = 128,978.74 : x
  2. Step 2: Convert to fraction form
    381,520.85/572,275.45 = 128,978.74/x
  3. Step 3: Cross multiply
    381,520.85x = 572,275.45 × 128,978.74
  4. Step 4: Simplify right side
    381,520.85x = 73,811,363,612.56
  5. Step 5: Solve for x
    x = 73,811,363,612.56/381,520.85
  6. Step 6: Final answer
    x = 193,466.13

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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.