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Finding the Fourth Proportional to 274,205.43, 378,422.78 and 153,357.97

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Solution

The fourth proportional to 274,205.43, 378,422.78 and 153,357.97 is: 211,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,205.43 : 378,422.78 = 153,357.97 : x
  2. Step 2: Convert to fraction form
    274,205.43/378,422.78 = 153,357.97/x
  3. Step 3: Cross multiply
    274,205.43x = 378,422.78 × 153,357.97
  4. Step 4: Simplify right side
    274,205.43x = 58,034,147,450.44
  5. Step 5: Solve for x
    x = 58,034,147,450.44/274,205.43
  6. Step 6: Final answer
    x = 211,644.78

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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.