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Finding the Fourth Proportional to 263,045.20, 394,729.80 and 113,357.20

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Solution

The fourth proportional to 263,045.20, 394,729.80 and 113,357.20 is: 170,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,045.20 : 394,729.80 = 113,357.20 : x
  2. Step 2: Convert to fraction form
    263,045.20/394,729.80 = 113,357.20/x
  3. Step 3: Cross multiply
    263,045.20x = 394,729.80 × 113,357.20
  4. Step 4: Simplify right side
    263,045.20x = 44,745,464,884.56
  5. Step 5: Solve for x
    x = 44,745,464,884.56/263,045.20
  6. Step 6: Final answer
    x = 170,105.61

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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.