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Finding the Fourth Proportional to 494,209.80, 682,021.44 and 279,350.64

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Solution

The fourth proportional to 494,209.80, 682,021.44 and 279,350.64 is: 385,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,209.80 : 682,021.44 = 279,350.64 : x
  2. Step 2: Convert to fraction form
    494,209.80/682,021.44 = 279,350.64/x
  3. Step 3: Cross multiply
    494,209.80x = 682,021.44 × 279,350.64
  4. Step 4: Simplify right side
    494,209.80x = 190,523,125,757.72
  5. Step 5: Solve for x
    x = 190,523,125,757.72/494,209.80
  6. Step 6: Final answer
    x = 385,510.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.