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Finding the Fourth Proportional to 274,471.32, 378,724.68 and 161,315.88

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Solution

The fourth proportional to 274,471.32, 378,724.68 and 161,315.88 is: 222,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,471.32 : 378,724.68 = 161,315.88 : x
  2. Step 2: Convert to fraction form
    274,471.32/378,724.68 = 161,315.88/x
  3. Step 3: Cross multiply
    274,471.32x = 378,724.68 × 161,315.88
  4. Step 4: Simplify right side
    274,471.32x = 61,094,305,031.92
  5. Step 5: Solve for x
    x = 61,094,305,031.92/274,471.32
  6. Step 6: Final answer
    x = 222,589.03

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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.