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Finding the Fourth Proportional to 415,027.80, 622,833.30 and 178,540.20

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Solution

The fourth proportional to 415,027.80, 622,833.30 and 178,540.20 is: 267,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,027.80 : 622,833.30 = 178,540.20 : x
  2. Step 2: Convert to fraction form
    415,027.80/622,833.30 = 178,540.20/x
  3. Step 3: Cross multiply
    415,027.80x = 622,833.30 × 178,540.20
  4. Step 4: Simplify right side
    415,027.80x = 111,200,781,948.66
  5. Step 5: Solve for x
    x = 111,200,781,948.66/415,027.80
  6. Step 6: Final answer
    x = 267,935.74

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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.