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Finding the Fourth Proportional to 278,301.60, 417,415.28 and 78,640.08

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Solution

The fourth proportional to 278,301.60, 417,415.28 and 78,640.08 is: 117,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,301.60 : 417,415.28 = 78,640.08 : x
  2. Step 2: Convert to fraction form
    278,301.60/417,415.28 = 78,640.08/x
  3. Step 3: Cross multiply
    278,301.60x = 417,415.28 × 78,640.08
  4. Step 4: Simplify right side
    278,301.60x = 32,825,571,012.42
  5. Step 5: Solve for x
    x = 32,825,571,012.42/278,301.60
  6. Step 6: Final answer
    x = 117,949.63

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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.