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Finding the Fourth Proportional to 280,197.64, 419,734.98 and 265,479.88

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Solution

The fourth proportional to 280,197.64, 419,734.98 and 265,479.88 is: 397,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,197.64 : 419,734.98 = 265,479.88 : x
  2. Step 2: Convert to fraction form
    280,197.64/419,734.98 = 265,479.88/x
  3. Step 3: Cross multiply
    280,197.64x = 419,734.98 × 265,479.88
  4. Step 4: Simplify right side
    280,197.64x = 111,431,192,122.20
  5. Step 5: Solve for x
    x = 111,431,192,122.20/280,197.64
  6. Step 6: Final answer
    x = 397,687.83

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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.