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Finding the Fourth Proportional to 274,474.32, 378,728.82 and 161,318.88

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Solution

The fourth proportional to 274,474.32, 378,728.82 and 161,318.88 is: 222,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,474.32 : 378,728.82 = 161,318.88 : x
  2. Step 2: Convert to fraction form
    274,474.32/378,728.82 = 161,318.88/x
  3. Step 3: Cross multiply
    274,474.32x = 378,728.82 × 161,318.88
  4. Step 4: Simplify right side
    274,474.32x = 61,096,109,066.12
  5. Step 5: Solve for x
    x = 61,096,109,066.12/274,474.32
  6. Step 6: Final answer
    x = 222,593.17

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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.