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Finding the Fourth Proportional to 494,782.52, 682,377.92 and 380,338.44

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Solution

The fourth proportional to 494,782.52, 682,377.92 and 380,338.44 is: 524,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,782.52 : 682,377.92 = 380,338.44 : x
  2. Step 2: Convert to fraction form
    494,782.52/682,377.92 = 380,338.44/x
  3. Step 3: Cross multiply
    494,782.52x = 682,377.92 × 380,338.44
  4. Step 4: Simplify right side
    494,782.52x = 259,534,553,583.25
  5. Step 5: Solve for x
    x = 259,534,553,583.25/494,782.52
  6. Step 6: Final answer
    x = 524,542.69

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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.