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Finding the Fourth Proportional to 278,309.92, 417,122.72 and 128,342.02

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Solution

The fourth proportional to 278,309.92, 417,122.72 and 128,342.02 is: 192,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,309.92 : 417,122.72 = 128,342.02 : x
  2. Step 2: Convert to fraction form
    278,309.92/417,122.72 = 128,342.02/x
  3. Step 3: Cross multiply
    278,309.92x = 417,122.72 × 128,342.02
  4. Step 4: Simplify right side
    278,309.92x = 53,534,372,472.69
  5. Step 5: Solve for x
    x = 53,534,372,472.69/278,309.92
  6. Step 6: Final answer
    x = 192,355.24

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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.