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Finding the Fourth Proportional to 381,343.32, 571,918.41 and 156,765.78

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Solution

The fourth proportional to 381,343.32, 571,918.41 and 156,765.78 is: 235,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,343.32 : 571,918.41 = 156,765.78 : x
  2. Step 2: Convert to fraction form
    381,343.32/571,918.41 = 156,765.78/x
  3. Step 3: Cross multiply
    381,343.32x = 571,918.41 × 156,765.78
  4. Step 4: Simplify right side
    381,343.32x = 89,657,235,640.01
  5. Step 5: Solve for x
    x = 89,657,235,640.01/381,343.32
  6. Step 6: Final answer
    x = 235,108.97

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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.