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Finding the Fourth Proportional to 263,003.80, 394,764.90 and 130,034.20

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Solution

The fourth proportional to 263,003.80, 394,764.90 and 130,034.20 is: 195,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,003.80 : 394,764.90 = 130,034.20 : x
  2. Step 2: Convert to fraction form
    263,003.80/394,764.90 = 130,034.20/x
  3. Step 3: Cross multiply
    263,003.80x = 394,764.90 × 130,034.20
  4. Step 4: Simplify right side
    263,003.80x = 51,332,937,959.58
  5. Step 5: Solve for x
    x = 51,332,937,959.58/263,003.80
  6. Step 6: Final answer
    x = 195,179.45

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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.