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Finding the Fourth Proportional to 278,052.40, 417,078.60 and 188,822.80

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Solution

The fourth proportional to 278,052.40, 417,078.60 and 188,822.80 is: 283,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,052.40 : 417,078.60 = 188,822.80 : x
  2. Step 2: Convert to fraction form
    278,052.40/417,078.60 = 188,822.80/x
  3. Step 3: Cross multiply
    278,052.40x = 417,078.60 × 188,822.80
  4. Step 4: Simplify right side
    278,052.40x = 78,753,949,072.08
  5. Step 5: Solve for x
    x = 78,753,949,072.08/278,052.40
  6. Step 6: Final answer
    x = 283,234.20

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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.