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Finding the Fourth Proportional to 278,468.20, 417,702.30 and 68,108.20

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Solution

The fourth proportional to 278,468.20, 417,702.30 and 68,108.20 is: 102,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468.20 : 417,702.30 = 68,108.20 : x
  2. Step 2: Convert to fraction form
    278,468.20/417,702.30 = 68,108.20/x
  3. Step 3: Cross multiply
    278,468.20x = 417,702.30 × 68,108.20
  4. Step 4: Simplify right side
    278,468.20x = 28,448,951,788.86
  5. Step 5: Solve for x
    x = 28,448,951,788.86/278,468.20
  6. Step 6: Final answer
    x = 102,162.30

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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.