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Finding the Fourth Proportional to 263,488.85, 395,287.91 and 105,729.61

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Solution

The fourth proportional to 263,488.85, 395,287.91 and 105,729.61 is: 158,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,488.85 : 395,287.91 = 105,729.61 : x
  2. Step 2: Convert to fraction form
    263,488.85/395,287.91 = 105,729.61/x
  3. Step 3: Cross multiply
    263,488.85x = 395,287.91 × 105,729.61
  4. Step 4: Simplify right side
    263,488.85x = 41,793,636,562.02
  5. Step 5: Solve for x
    x = 41,793,636,562.02/263,488.85
  6. Step 6: Final answer
    x = 158,616.34

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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.