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Finding the Fourth Proportional to 279,793.92, 419,737.36 and 111,315.84

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Solution

The fourth proportional to 279,793.92, 419,737.36 and 111,315.84 is: 166,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,793.92 : 419,737.36 = 111,315.84 : x
  2. Step 2: Convert to fraction form
    279,793.92/419,737.36 = 111,315.84/x
  3. Step 3: Cross multiply
    279,793.92x = 419,737.36 × 111,315.84
  4. Step 4: Simplify right side
    279,793.92x = 46,723,416,807.78
  5. Step 5: Solve for x
    x = 46,723,416,807.78/279,793.92
  6. Step 6: Final answer
    x = 166,992.25

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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.