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Finding the Fourth Proportional to 263,321.40, 394,982.10 and 157,033.20

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Solution

The fourth proportional to 263,321.40, 394,982.10 and 157,033.20 is: 235,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,321.40 : 394,982.10 = 157,033.20 : x
  2. Step 2: Convert to fraction form
    263,321.40/394,982.10 = 157,033.20/x
  3. Step 3: Cross multiply
    263,321.40x = 394,982.10 × 157,033.20
  4. Step 4: Simplify right side
    263,321.40x = 62,025,303,105.72
  5. Step 5: Solve for x
    x = 62,025,303,105.72/263,321.40
  6. Step 6: Final answer
    x = 235,549.80

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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.