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Finding the Fourth Proportional to 278,180.59, 417,086.52 and 100,664.50

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Solution

The fourth proportional to 278,180.59, 417,086.52 and 100,664.50 is: 150,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,180.59 : 417,086.52 = 100,664.50 : x
  2. Step 2: Convert to fraction form
    278,180.59/417,086.52 = 100,664.50/x
  3. Step 3: Cross multiply
    278,180.59x = 417,086.52 × 100,664.50
  4. Step 4: Simplify right side
    278,180.59x = 41,985,805,992.54
  5. Step 5: Solve for x
    x = 41,985,805,992.54/278,180.59
  6. Step 6: Final answer
    x = 150,930.03

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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.