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Finding the Fourth Proportional to 279,558, 419,340.24 and 69,197.76

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Solution

The fourth proportional to 279,558, 419,340.24 and 69,197.76 is: 103,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,558 : 419,340.24 = 69,197.76 : x
  2. Step 2: Convert to fraction form
    279,558/419,340.24 = 69,197.76/x
  3. Step 3: Cross multiply
    279,558x = 419,340.24 × 69,197.76
  4. Step 4: Simplify right side
    279,558x = 29,017,405,285.86
  5. Step 5: Solve for x
    x = 29,017,405,285.86/279,558
  6. Step 6: Final answer
    x = 103,797.44

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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.