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Finding the Fourth Proportional to 278,253.88, 417,398.28 and 78,589.90

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Solution

The fourth proportional to 278,253.88, 417,398.28 and 78,589.90 is: 117,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,253.88 : 417,398.28 = 78,589.90 : x
  2. Step 2: Convert to fraction form
    278,253.88/417,398.28 = 78,589.90/x
  3. Step 3: Cross multiply
    278,253.88x = 417,398.28 × 78,589.90
  4. Step 4: Simplify right side
    278,253.88x = 32,803,289,085.37
  5. Step 5: Solve for x
    x = 32,803,289,085.37/278,253.88
  6. Step 6: Final answer
    x = 117,889.78

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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.