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Finding the Fourth Proportional to 324,364.20, 486,287.10 and 137,221.80

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Solution

The fourth proportional to 324,364.20, 486,287.10 and 137,221.80 is: 205,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,364.20 : 486,287.10 = 137,221.80 : x
  2. Step 2: Convert to fraction form
    324,364.20/486,287.10 = 137,221.80/x
  3. Step 3: Cross multiply
    324,364.20x = 486,287.10 × 137,221.80
  4. Step 4: Simplify right side
    324,364.20x = 66,729,191,178.78
  5. Step 5: Solve for x
    x = 66,729,191,178.78/324,364.20
  6. Step 6: Final answer
    x = 205,723.05

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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.