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Finding the Fourth Proportional to 268,246.40, 401,755.20 and 136,764.80

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Solution

The fourth proportional to 268,246.40, 401,755.20 and 136,764.80 is: 204,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,246.40 : 401,755.20 = 136,764.80 : x
  2. Step 2: Convert to fraction form
    268,246.40/401,755.20 = 136,764.80/x
  3. Step 3: Cross multiply
    268,246.40x = 401,755.20 × 136,764.80
  4. Step 4: Simplify right side
    268,246.40x = 54,945,969,576.96
  5. Step 5: Solve for x
    x = 54,945,969,576.96/268,246.40
  6. Step 6: Final answer
    x = 204,833.95

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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.