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Finding the Fourth Proportional to 381,481.65, 572,408.37 and 156,909.42

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Solution

The fourth proportional to 381,481.65, 572,408.37 and 156,909.42 is: 235,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,481.65 : 572,408.37 = 156,909.42 : x
  2. Step 2: Convert to fraction form
    381,481.65/572,408.37 = 156,909.42/x
  3. Step 3: Cross multiply
    381,481.65x = 572,408.37 × 156,909.42
  4. Step 4: Simplify right side
    381,481.65x = 89,816,265,339.85
  5. Step 5: Solve for x
    x = 89,816,265,339.85/381,481.65
  6. Step 6: Final answer
    x = 235,440.59

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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.