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Finding the Fourth Proportional to 278,616.72, 417,995.82 and 128,964.96

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Solution

The fourth proportional to 278,616.72, 417,995.82 and 128,964.96 is: 193,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,616.72 : 417,995.82 = 128,964.96 : x
  2. Step 2: Convert to fraction form
    278,616.72/417,995.82 = 128,964.96/x
  3. Step 3: Cross multiply
    278,616.72x = 417,995.82 × 128,964.96
  4. Step 4: Simplify right side
    278,616.72x = 53,906,814,206.47
  5. Step 5: Solve for x
    x = 53,906,814,206.47/278,616.72
  6. Step 6: Final answer
    x = 193,480.18

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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.