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Finding the Fourth Proportional to 321,638.54, 482,475.11 and 84,974.76

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Solution

The fourth proportional to 321,638.54, 482,475.11 and 84,974.76 is: 127,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,638.54 : 482,475.11 = 84,974.76 : x
  2. Step 2: Convert to fraction form
    321,638.54/482,475.11 = 84,974.76/x
  3. Step 3: Cross multiply
    321,638.54x = 482,475.11 × 84,974.76
  4. Step 4: Simplify right side
    321,638.54x = 40,998,206,253.35
  5. Step 5: Solve for x
    x = 40,998,206,253.35/321,638.54
  6. Step 6: Final answer
    x = 127,466.71

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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.