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Finding the Fourth Proportional to 415,227.20, 622,610.40 and 165,627.20

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Solution

The fourth proportional to 415,227.20, 622,610.40 and 165,627.20 is: 248,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,227.20 : 622,610.40 = 165,627.20 : x
  2. Step 2: Convert to fraction form
    415,227.20/622,610.40 = 165,627.20/x
  3. Step 3: Cross multiply
    415,227.20x = 622,610.40 × 165,627.20
  4. Step 4: Simplify right side
    415,227.20x = 103,121,217,242.88
  5. Step 5: Solve for x
    x = 103,121,217,242.88/415,227.20
  6. Step 6: Final answer
    x = 248,348.90

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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.