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Finding the Fourth Proportional to 362,121.70, 499,727.13 and 200,978.62

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Solution

The fourth proportional to 362,121.70, 499,727.13 and 200,978.62 is: 277,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,121.70 : 499,727.13 = 200,978.62 : x
  2. Step 2: Convert to fraction form
    362,121.70/499,727.13 = 200,978.62/x
  3. Step 3: Cross multiply
    362,121.70x = 499,727.13 × 200,978.62
  4. Step 4: Simplify right side
    362,121.70x = 100,434,468,963.96
  5. Step 5: Solve for x
    x = 100,434,468,963.96/362,121.70
  6. Step 6: Final answer
    x = 277,350.04

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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.