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Finding the Fourth Proportional to 263,615.40, 395,422.92 and 105,843.78

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Solution

The fourth proportional to 263,615.40, 395,422.92 and 105,843.78 is: 158,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,615.40 : 395,422.92 = 105,843.78 : x
  2. Step 2: Convert to fraction form
    263,615.40/395,422.92 = 105,843.78/x
  3. Step 3: Cross multiply
    263,615.40x = 395,422.92 × 105,843.78
  4. Step 4: Simplify right side
    263,615.40x = 41,853,056,551.44
  5. Step 5: Solve for x
    x = 41,853,056,551.44/263,615.40
  6. Step 6: Final answer
    x = 158,765.60

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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.