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Finding the Fourth Proportional to 274,523.79, 378,846.71 and 158,172.96

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Solution

The fourth proportional to 274,523.79, 378,846.71 and 158,172.96 is: 218,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,523.79 : 378,846.71 = 158,172.96 : x
  2. Step 2: Convert to fraction form
    274,523.79/378,846.71 = 158,172.96/x
  3. Step 3: Cross multiply
    274,523.79x = 378,846.71 × 158,172.96
  4. Step 4: Simplify right side
    274,523.79x = 59,923,304,716.10
  5. Step 5: Solve for x
    x = 59,923,304,716.10/274,523.79
  6. Step 6: Final answer
    x = 218,280.91

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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.