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Finding the Fourth Proportional to 252,280.62, 378,532.71 and 133,923.42

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Solution

The fourth proportional to 252,280.62, 378,532.71 and 133,923.42 is: 200,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,280.62 : 378,532.71 = 133,923.42 : x
  2. Step 2: Convert to fraction form
    252,280.62/378,532.71 = 133,923.42/x
  3. Step 3: Cross multiply
    252,280.62x = 378,532.71 × 133,923.42
  4. Step 4: Simplify right side
    252,280.62x = 50,694,395,105.07
  5. Step 5: Solve for x
    x = 50,694,395,105.07/252,280.62
  6. Step 6: Final answer
    x = 200,944.47

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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.