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Finding the Fourth Proportional to 382,860, 574,294.86 and 133,542

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Solution

The fourth proportional to 382,860, 574,294.86 and 133,542 is: 200,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,860 : 574,294.86 = 133,542 : x
  2. Step 2: Convert to fraction form
    382,860/574,294.86 = 133,542/x
  3. Step 3: Cross multiply
    382,860x = 574,294.86 × 133,542
  4. Step 4: Simplify right side
    382,860x = 76,692,484,194.12
  5. Step 5: Solve for x
    x = 76,692,484,194.12/382,860
  6. Step 6: Final answer
    x = 200,314.70

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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.