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Finding the Fourth Proportional to 263,020.40, 394,271.40 and 129,921.20

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Solution

The fourth proportional to 263,020.40, 394,271.40 and 129,921.20 is: 194,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,020.40 : 394,271.40 = 129,921.20 : x
  2. Step 2: Convert to fraction form
    263,020.40/394,271.40 = 129,921.20/x
  3. Step 3: Cross multiply
    263,020.40x = 394,271.40 × 129,921.20
  4. Step 4: Simplify right side
    263,020.40x = 51,224,213,413.68
  5. Step 5: Solve for x
    x = 51,224,213,413.68/263,020.40
  6. Step 6: Final answer
    x = 194,753.77

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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.