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Finding the Fourth Proportional to 278,821, 417,996.33 and 120,930.52

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Solution

The fourth proportional to 278,821, 417,996.33 and 120,930.52 is: 181,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,821 : 417,996.33 = 120,930.52 : x
  2. Step 2: Convert to fraction form
    278,821/417,996.33 = 120,930.52/x
  3. Step 3: Cross multiply
    278,821x = 417,996.33 × 120,930.52
  4. Step 4: Simplify right side
    278,821x = 50,548,513,544.99
  5. Step 5: Solve for x
    x = 50,548,513,544.99/278,821
  6. Step 6: Final answer
    x = 181,293.78

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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.