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Finding the Fourth Proportional to 381,365.49, 572,234.13 and 156,793.40

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Solution

The fourth proportional to 381,365.49, 572,234.13 and 156,793.40 is: 235,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,365.49 : 572,234.13 = 156,793.40 : x
  2. Step 2: Convert to fraction form
    381,365.49/572,234.13 = 156,793.40/x
  3. Step 3: Cross multiply
    381,365.49x = 572,234.13 × 156,793.40
  4. Step 4: Simplify right side
    381,365.49x = 89,722,534,838.74
  5. Step 5: Solve for x
    x = 89,722,534,838.74/381,365.49
  6. Step 6: Final answer
    x = 235,266.53

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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.