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Finding the Fourth Proportional to 682,381, 1,023,528.44 and 266,491.48

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Solution

The fourth proportional to 682,381, 1,023,528.44 and 266,491.48 is: 399,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,381 : 1,023,528.44 = 266,491.48 : x
  2. Step 2: Convert to fraction form
    682,381/1,023,528.44 = 266,491.48/x
  3. Step 3: Cross multiply
    682,381x = 1,023,528.44 × 266,491.48
  4. Step 4: Simplify right side
    682,381x = 272,761,608,797.69
  5. Step 5: Solve for x
    x = 272,761,608,797.69/682,381
  6. Step 6: Final answer
    x = 399,720.40

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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.