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Finding the Fourth Proportional to 415,029.80, 622,836.30 and 178,542.20

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Solution

The fourth proportional to 415,029.80, 622,836.30 and 178,542.20 is: 267,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,029.80 : 622,836.30 = 178,542.20 : x
  2. Step 2: Convert to fraction form
    415,029.80/622,836.30 = 178,542.20/x
  3. Step 3: Cross multiply
    415,029.80x = 622,836.30 × 178,542.20
  4. Step 4: Simplify right side
    415,029.80x = 111,202,563,241.86
  5. Step 5: Solve for x
    x = 111,202,563,241.86/415,029.80
  6. Step 6: Final answer
    x = 267,938.74

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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.