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Finding the Fourth Proportional to 268,531.20, 402,451.20 and 205,891.20

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Solution

The fourth proportional to 268,531.20, 402,451.20 and 205,891.20 is: 308,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,531.20 : 402,451.20 = 205,891.20 : x
  2. Step 2: Convert to fraction form
    268,531.20/402,451.20 = 205,891.20/x
  3. Step 3: Cross multiply
    268,531.20x = 402,451.20 × 205,891.20
  4. Step 4: Simplify right side
    268,531.20x = 82,861,160,509.44
  5. Step 5: Solve for x
    x = 82,861,160,509.44/268,531.20
  6. Step 6: Final answer
    x = 308,571.82

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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.