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Finding the Fourth Proportional to 278,911.92, 417,908.13 and 160,682.70

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Solution

The fourth proportional to 278,911.92, 417,908.13 and 160,682.70 is: 240,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,911.92 : 417,908.13 = 160,682.70 : x
  2. Step 2: Convert to fraction form
    278,911.92/417,908.13 = 160,682.70/x
  3. Step 3: Cross multiply
    278,911.92x = 417,908.13 × 160,682.70
  4. Step 4: Simplify right side
    278,911.92x = 67,150,606,680.35
  5. Step 5: Solve for x
    x = 67,150,606,680.35/278,911.92
  6. Step 6: Final answer
    x = 240,759.19

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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.