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Finding the Fourth Proportional to 263,002.80, 394,763.40 and 130,033.20

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Solution

The fourth proportional to 263,002.80, 394,763.40 and 130,033.20 is: 195,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,002.80 : 394,763.40 = 130,033.20 : x
  2. Step 2: Convert to fraction form
    263,002.80/394,763.40 = 130,033.20/x
  3. Step 3: Cross multiply
    263,002.80x = 394,763.40 × 130,033.20
  4. Step 4: Simplify right side
    263,002.80x = 51,332,348,144.88
  5. Step 5: Solve for x
    x = 51,332,348,144.88/263,002.80
  6. Step 6: Final answer
    x = 195,177.95

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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.