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Finding the Fourth Proportional to 272,446, 408,684.38 and 82,912.56

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Solution

The fourth proportional to 272,446, 408,684.38 and 82,912.56 is: 124,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,446 : 408,684.38 = 82,912.56 : x
  2. Step 2: Convert to fraction form
    272,446/408,684.38 = 82,912.56/x
  3. Step 3: Cross multiply
    272,446x = 408,684.38 × 82,912.56
  4. Step 4: Simplify right side
    272,446x = 33,885,068,177.81
  5. Step 5: Solve for x
    x = 33,885,068,177.81/272,446
  6. Step 6: Final answer
    x = 124,373.52

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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.