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Finding the Fourth Proportional to 278,775.92, 418,015.65 and 110,289.44

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Solution

The fourth proportional to 278,775.92, 418,015.65 and 110,289.44 is: 165,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,775.92 : 418,015.65 = 110,289.44 : x
  2. Step 2: Convert to fraction form
    278,775.92/418,015.65 = 110,289.44/x
  3. Step 3: Cross multiply
    278,775.92x = 418,015.65 × 110,289.44
  4. Step 4: Simplify right side
    278,775.92x = 46,102,711,949.74
  5. Step 5: Solve for x
    x = 46,102,711,949.74/278,775.92
  6. Step 6: Final answer
    x = 165,375.52

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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.