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Finding the Fourth Proportional to 392,537.68, 541,700.46 and 220,431.76

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Solution

The fourth proportional to 392,537.68, 541,700.46 and 220,431.76 is: 304,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,537.68 : 541,700.46 = 220,431.76 : x
  2. Step 2: Convert to fraction form
    392,537.68/541,700.46 = 220,431.76/x
  3. Step 3: Cross multiply
    392,537.68x = 541,700.46 × 220,431.76
  4. Step 4: Simplify right side
    392,537.68x = 119,407,985,790.61
  5. Step 5: Solve for x
    x = 119,407,985,790.61/392,537.68
  6. Step 6: Final answer
    x = 304,194.96

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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.