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Finding the Fourth Proportional to 415,200.80, 622,954.80 and 134,727.20

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Solution

The fourth proportional to 415,200.80, 622,954.80 and 134,727.20 is: 202,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.80 : 622,954.80 = 134,727.20 : x
  2. Step 2: Convert to fraction form
    415,200.80/622,954.80 = 134,727.20/x
  3. Step 3: Cross multiply
    415,200.80x = 622,954.80 × 134,727.20
  4. Step 4: Simplify right side
    415,200.80x = 83,928,955,930.56
  5. Step 5: Solve for x
    x = 83,928,955,930.56/415,200.80
  6. Step 6: Final answer
    x = 202,140.64

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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.