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Finding the Fourth Proportional to 324,654, 486,553.32 and 137,433.84

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Solution

The fourth proportional to 324,654, 486,553.32 and 137,433.84 is: 205,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654 : 486,553.32 = 137,433.84 : x
  2. Step 2: Convert to fraction form
    324,654/486,553.32 = 137,433.84/x
  3. Step 3: Cross multiply
    324,654x = 486,553.32 × 137,433.84
  4. Step 4: Simplify right side
    324,654x = 66,868,891,132.35
  5. Step 5: Solve for x
    x = 66,868,891,132.35/324,654
  6. Step 6: Final answer
    x = 205,969.71

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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.