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Finding the Fourth Proportional to 381,520.57, 572,275.03 and 128,978.46

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Solution

The fourth proportional to 381,520.57, 572,275.03 and 128,978.46 is: 193,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,520.57 : 572,275.03 = 128,978.46 : x
  2. Step 2: Convert to fraction form
    381,520.57/572,275.03 = 128,978.46/x
  3. Step 3: Cross multiply
    381,520.57x = 572,275.03 × 128,978.46
  4. Step 4: Simplify right side
    381,520.57x = 73,811,151,743.41
  5. Step 5: Solve for x
    x = 73,811,151,743.41/381,520.57
  6. Step 6: Final answer
    x = 193,465.72

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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.