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Finding the Fourth Proportional to 278,617.72, 417,997.32 and 128,965.96

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Solution

The fourth proportional to 278,617.72, 417,997.32 and 128,965.96 is: 193,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,617.72 : 417,997.32 = 128,965.96 : x
  2. Step 2: Convert to fraction form
    278,617.72/417,997.32 = 128,965.96/x
  3. Step 3: Cross multiply
    278,617.72x = 417,997.32 × 128,965.96
  4. Step 4: Simplify right side
    278,617.72x = 53,907,425,651.23
  5. Step 5: Solve for x
    x = 53,907,425,651.23/278,617.72
  6. Step 6: Final answer
    x = 193,481.68

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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.