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Finding the Fourth Proportional to 278,057.91, 417,090.97 and 192,584.49

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Solution

The fourth proportional to 278,057.91, 417,090.97 and 192,584.49 is: 288,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.91 : 417,090.97 = 192,584.49 : x
  2. Step 2: Convert to fraction form
    278,057.91/417,090.97 = 192,584.49/x
  3. Step 3: Cross multiply
    278,057.91x = 417,090.97 × 192,584.49
  4. Step 4: Simplify right side
    278,057.91x = 80,325,250,417.69
  5. Step 5: Solve for x
    x = 80,325,250,417.69/278,057.91
  6. Step 6: Final answer
    x = 288,879.57

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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.