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Finding the Fourth Proportional to 382,293.67, 573,082.39 and 129,397.20

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Solution

The fourth proportional to 382,293.67, 573,082.39 and 129,397.20 is: 193,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,293.67 : 573,082.39 = 129,397.20 : x
  2. Step 2: Convert to fraction form
    382,293.67/573,082.39 = 129,397.20/x
  3. Step 3: Cross multiply
    382,293.67x = 573,082.39 × 129,397.20
  4. Step 4: Simplify right side
    382,293.67x = 74,155,256,635.31
  5. Step 5: Solve for x
    x = 74,155,256,635.31/382,293.67
  6. Step 6: Final answer
    x = 193,974.59

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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.