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Finding the Fourth Proportional to 278,047.86, 416,398.28 and 192,418.78

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Solution

The fourth proportional to 278,047.86, 416,398.28 and 192,418.78 is: 288,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,047.86 : 416,398.28 = 192,418.78 : x
  2. Step 2: Convert to fraction form
    278,047.86/416,398.28 = 192,418.78/x
  3. Step 3: Cross multiply
    278,047.86x = 416,398.28 × 192,418.78
  4. Step 4: Simplify right side
    278,047.86x = 80,122,846,949.71
  5. Step 5: Solve for x
    x = 80,122,846,949.71/278,047.86
  6. Step 6: Final answer
    x = 288,162.07

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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.