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Finding the Fourth Proportional to 278,240.32, 417,363.72 and 78,565.60

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Solution

The fourth proportional to 278,240.32, 417,363.72 and 78,565.60 is: 117,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,240.32 : 417,363.72 = 78,565.60 : x
  2. Step 2: Convert to fraction form
    278,240.32/417,363.72 = 78,565.60/x
  3. Step 3: Cross multiply
    278,240.32x = 417,363.72 × 78,565.60
  4. Step 4: Simplify right side
    278,240.32x = 32,790,431,080.03
  5. Step 5: Solve for x
    x = 32,790,431,080.03/278,240.32
  6. Step 6: Final answer
    x = 117,849.31

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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.