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Finding the Fourth Proportional to 232,294.56, 320,679.12 and 155,785.78

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Solution

The fourth proportional to 232,294.56, 320,679.12 and 155,785.78 is: 215,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,294.56 : 320,679.12 = 155,785.78 : x
  2. Step 2: Convert to fraction form
    232,294.56/320,679.12 = 155,785.78/x
  3. Step 3: Cross multiply
    232,294.56x = 320,679.12 × 155,785.78
  4. Step 4: Simplify right side
    232,294.56x = 49,957,246,838.91
  5. Step 5: Solve for x
    x = 49,957,246,838.91/232,294.56
  6. Step 6: Final answer
    x = 215,059.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.