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Finding the Fourth Proportional to 278,387.20, 417,578.80 and 68,023.20

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Solution

The fourth proportional to 278,387.20, 417,578.80 and 68,023.20 is: 102,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,387.20 : 417,578.80 = 68,023.20 : x
  2. Step 2: Convert to fraction form
    278,387.20/417,578.80 = 68,023.20/x
  3. Step 3: Cross multiply
    278,387.20x = 417,578.80 × 68,023.20
  4. Step 4: Simplify right side
    278,387.20x = 28,405,046,228.16
  5. Step 5: Solve for x
    x = 28,405,046,228.16/278,387.20
  6. Step 6: Final answer
    x = 102,034.31

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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.