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Finding the Fourth Proportional to 279,801.28, 419,843.06 and 137,640.60

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Solution

The fourth proportional to 279,801.28, 419,843.06 and 137,640.60 is: 206,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,801.28 : 419,843.06 = 137,640.60 : x
  2. Step 2: Convert to fraction form
    279,801.28/419,843.06 = 137,640.60/x
  3. Step 3: Cross multiply
    279,801.28x = 419,843.06 × 137,640.60
  4. Step 4: Simplify right side
    279,801.28x = 57,787,450,684.24
  5. Step 5: Solve for x
    x = 57,787,450,684.24/279,801.28
  6. Step 6: Final answer
    x = 206,530.33

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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.