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Finding the Fourth Proportional to 494,570.30, 682,520.85 and 279,743.31

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Solution

The fourth proportional to 494,570.30, 682,520.85 and 279,743.31 is: 386,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,570.30 : 682,520.85 = 279,743.31 : x
  2. Step 2: Convert to fraction form
    494,570.30/682,520.85 = 279,743.31/x
  3. Step 3: Cross multiply
    494,570.30x = 682,520.85 × 279,743.31
  4. Step 4: Simplify right side
    494,570.30x = 190,930,641,723.01
  5. Step 5: Solve for x
    x = 190,930,641,723.01/494,570.30
  6. Step 6: Final answer
    x = 386,053.60

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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.