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Finding the Fourth Proportional to 274,589.56, 378,954.56 and 158,321.92

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Solution

The fourth proportional to 274,589.56, 378,954.56 and 158,321.92 is: 218,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,589.56 : 378,954.56 = 158,321.92 : x
  2. Step 2: Convert to fraction form
    274,589.56/378,954.56 = 158,321.92/x
  3. Step 3: Cross multiply
    274,589.56x = 378,954.56 × 158,321.92
  4. Step 4: Simplify right side
    274,589.56x = 59,996,813,531.96
  5. Step 5: Solve for x
    x = 59,996,813,531.96/274,589.56
  6. Step 6: Final answer
    x = 218,496.34

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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.