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Finding the Fourth Proportional to 494,400.80, 682,286.54 and 279,573

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Solution

The fourth proportional to 494,400.80, 682,286.54 and 279,573 is: 385,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,400.80 : 682,286.54 = 279,573 : x
  2. Step 2: Convert to fraction form
    494,400.80/682,286.54 = 279,573/x
  3. Step 3: Cross multiply
    494,400.80x = 682,286.54 × 279,573
  4. Step 4: Simplify right side
    494,400.80x = 190,748,893,449.56
  5. Step 5: Solve for x
    x = 190,748,893,449.56/494,400.80
  6. Step 6: Final answer
    x = 385,818.34

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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.