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Finding the Fourth Proportional to 682,375, 1,023,519.44 and 266,485.48

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Solution

The fourth proportional to 682,375, 1,023,519.44 and 266,485.48 is: 399,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,375 : 1,023,519.44 = 266,485.48 : x
  2. Step 2: Convert to fraction form
    682,375/1,023,519.44 = 266,485.48/x
  3. Step 3: Cross multiply
    682,375x = 1,023,519.44 × 266,485.48
  4. Step 4: Simplify right side
    682,375x = 272,753,069,257.73
  5. Step 5: Solve for x
    x = 272,753,069,257.73/682,375
  6. Step 6: Final answer
    x = 399,711.40

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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.