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Finding the Fourth Proportional to 278,633.20, 417,949.80 and 138,665.20

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Solution

The fourth proportional to 278,633.20, 417,949.80 and 138,665.20 is: 207,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,633.20 : 417,949.80 = 138,665.20 : x
  2. Step 2: Convert to fraction form
    278,633.20/417,949.80 = 138,665.20/x
  3. Step 3: Cross multiply
    278,633.20x = 417,949.80 × 138,665.20
  4. Step 4: Simplify right side
    278,633.20x = 57,955,092,606.96
  5. Step 5: Solve for x
    x = 57,955,092,606.96/278,633.20
  6. Step 6: Final answer
    x = 207,997.80

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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.