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Finding the Fourth Proportional to 263,617.40, 395,425.92 and 105,845.78

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Solution

The fourth proportional to 263,617.40, 395,425.92 and 105,845.78 is: 158,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,617.40 : 395,425.92 = 105,845.78 : x
  2. Step 2: Convert to fraction form
    263,617.40/395,425.92 = 105,845.78/x
  3. Step 3: Cross multiply
    263,617.40x = 395,425.92 × 105,845.78
  4. Step 4: Simplify right side
    263,617.40x = 41,854,164,934.62
  5. Step 5: Solve for x
    x = 41,854,164,934.62/263,617.40
  6. Step 6: Final answer
    x = 158,768.60

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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.