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Finding the Fourth Proportional to 274,177.44, 411,300 and 133,830

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Solution

The fourth proportional to 274,177.44, 411,300 and 133,830 is: 200,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,177.44 : 411,300 = 133,830 : x
  2. Step 2: Convert to fraction form
    274,177.44/411,300 = 133,830/x
  3. Step 3: Cross multiply
    274,177.44x = 411,300 × 133,830
  4. Step 4: Simplify right side
    274,177.44x = 55,044,279,000
  5. Step 5: Solve for x
    x = 55,044,279,000/274,177.44
  6. Step 6: Final answer
    x = 200,761.52

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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.