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Finding the Fourth Proportional to 225,665.60, 338,920.01 and 198,657.52

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Solution

The fourth proportional to 225,665.60, 338,920.01 and 198,657.52 is: 298,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,665.60 : 338,920.01 = 198,657.52 : x
  2. Step 2: Convert to fraction form
    225,665.60/338,920.01 = 198,657.52/x
  3. Step 3: Cross multiply
    225,665.60x = 338,920.01 × 198,657.52
  4. Step 4: Simplify right side
    225,665.60x = 67,329,008,664.98
  5. Step 5: Solve for x
    x = 67,329,008,664.98/225,665.60
  6. Step 6: Final answer
    x = 298,357.43

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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.