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Finding the Fourth Proportional to 415,206.80, 622,963.80 and 134,733.20

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Solution

The fourth proportional to 415,206.80, 622,963.80 and 134,733.20 is: 202,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,206.80 : 622,963.80 = 134,733.20 : x
  2. Step 2: Convert to fraction form
    415,206.80/622,963.80 = 134,733.20/x
  3. Step 3: Cross multiply
    415,206.80x = 622,963.80 × 134,733.20
  4. Step 4: Simplify right side
    415,206.80x = 83,933,906,258.16
  5. Step 5: Solve for x
    x = 83,933,906,258.16/415,206.80
  6. Step 6: Final answer
    x = 202,149.64

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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.