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Finding the Fourth Proportional to 382,449.40, 573,649.80 and 129,729.40

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Solution

The fourth proportional to 382,449.40, 573,649.80 and 129,729.40 is: 194,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,449.40 : 573,649.80 = 129,729.40 : x
  2. Step 2: Convert to fraction form
    382,449.40/573,649.80 = 129,729.40/x
  3. Step 3: Cross multiply
    382,449.40x = 573,649.80 × 129,729.40
  4. Step 4: Simplify right side
    382,449.40x = 74,419,244,364.12
  5. Step 5: Solve for x
    x = 74,419,244,364.12/382,449.40
  6. Step 6: Final answer
    x = 194,585.86

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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.