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Finding the Fourth Proportional to 254,286.72, 381,015.36 and 129,456

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Solution

The fourth proportional to 254,286.72, 381,015.36 and 129,456 is: 193,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,286.72 : 381,015.36 = 129,456 : x
  2. Step 2: Convert to fraction form
    254,286.72/381,015.36 = 129,456/x
  3. Step 3: Cross multiply
    254,286.72x = 381,015.36 × 129,456
  4. Step 4: Simplify right side
    254,286.72x = 49,324,724,444.16
  5. Step 5: Solve for x
    x = 49,324,724,444.16/254,286.72
  6. Step 6: Final answer
    x = 193,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.