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Finding the Fourth Proportional to 415,195.40, 622,697.52 and 162,481.88

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Solution

The fourth proportional to 415,195.40, 622,697.52 and 162,481.88 is: 243,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,195.40 : 622,697.52 = 162,481.88 : x
  2. Step 2: Convert to fraction form
    415,195.40/622,697.52 = 162,481.88/x
  3. Step 3: Cross multiply
    415,195.40x = 622,697.52 × 162,481.88
  4. Step 4: Simplify right side
    415,195.40x = 101,177,063,720.94
  5. Step 5: Solve for x
    x = 101,177,063,720.94/415,195.40
  6. Step 6: Final answer
    x = 243,685.42

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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.