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Finding the Fourth Proportional to 278,323.26, 417,447.54 and 78,659.28

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Solution

The fourth proportional to 278,323.26, 417,447.54 and 78,659.28 is: 117,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.26 : 417,447.54 = 78,659.28 : x
  2. Step 2: Convert to fraction form
    278,323.26/417,447.54 = 78,659.28/x
  3. Step 3: Cross multiply
    278,323.26x = 417,447.54 × 78,659.28
  4. Step 4: Simplify right side
    278,323.26x = 32,836,122,934.17
  5. Step 5: Solve for x
    x = 32,836,122,934.17/278,323.26
  6. Step 6: Final answer
    x = 117,978.36

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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.