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Finding the Fourth Proportional to 274,000, 411,123.12 and 174,134.32

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Solution

The fourth proportional to 274,000, 411,123.12 and 174,134.32 is: 261,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,000 : 411,123.12 = 174,134.32 : x
  2. Step 2: Convert to fraction form
    274,000/411,123.12 = 174,134.32/x
  3. Step 3: Cross multiply
    274,000x = 411,123.12 × 174,134.32
  4. Step 4: Simplify right side
    274,000x = 71,590,644,937.48
  5. Step 5: Solve for x
    x = 71,590,644,937.48/274,000
  6. Step 6: Final answer
    x = 261,279.73

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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.