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Finding the Fourth Proportional to 501,005.80, 691,414.50 and 274,660.84

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Solution

The fourth proportional to 501,005.80, 691,414.50 and 274,660.84 is: 379,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,005.80 : 691,414.50 = 274,660.84 : x
  2. Step 2: Convert to fraction form
    501,005.80/691,414.50 = 274,660.84/x
  3. Step 3: Cross multiply
    501,005.80x = 691,414.50 × 274,660.84
  4. Step 4: Simplify right side
    501,005.80x = 189,904,487,358.18
  5. Step 5: Solve for x
    x = 189,904,487,358.18/501,005.80
  6. Step 6: Final answer
    x = 379,046.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.