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Finding the Fourth Proportional to 646,309.14, 969,906.51 and 225,584.88

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Solution

The fourth proportional to 646,309.14, 969,906.51 and 225,584.88 is: 338,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,309.14 : 969,906.51 = 225,584.88 : x
  2. Step 2: Convert to fraction form
    646,309.14/969,906.51 = 225,584.88/x
  3. Step 3: Cross multiply
    646,309.14x = 969,906.51 × 225,584.88
  4. Step 4: Simplify right side
    646,309.14x = 218,796,243,669.57
  5. Step 5: Solve for x
    x = 218,796,243,669.57/646,309.14
  6. Step 6: Final answer
    x = 338,531.87

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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.