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Finding the Fourth Proportional to 598,908, 826,494.30 and 326,976

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Solution

The fourth proportional to 598,908, 826,494.30 and 326,976 is: 451,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,908 : 826,494.30 = 326,976 : x
  2. Step 2: Convert to fraction form
    598,908/826,494.30 = 326,976/x
  3. Step 3: Cross multiply
    598,908x = 826,494.30 × 326,976
  4. Step 4: Simplify right side
    598,908x = 270,243,800,236.80
  5. Step 5: Solve for x
    x = 270,243,800,236.80/598,908
  6. Step 6: Final answer
    x = 451,227.57

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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.