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Finding the Fourth Proportional to 321,949.20, 482,902.20 and 85,286.80

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Solution

The fourth proportional to 321,949.20, 482,902.20 and 85,286.80 is: 127,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,949.20 : 482,902.20 = 85,286.80 : x
  2. Step 2: Convert to fraction form
    321,949.20/482,902.20 = 85,286.80/x
  3. Step 3: Cross multiply
    321,949.20x = 482,902.20 × 85,286.80
  4. Step 4: Simplify right side
    321,949.20x = 41,185,183,350.96
  5. Step 5: Solve for x
    x = 41,185,183,350.96/321,949.20
  6. Step 6: Final answer
    x = 127,924.48

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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.