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Finding the Fourth Proportional to 646,299.23, 969,891.80 and 225,575.11

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Solution

The fourth proportional to 646,299.23, 969,891.80 and 225,575.11 is: 338,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,299.23 : 969,891.80 = 225,575.11 : x
  2. Step 2: Convert to fraction form
    646,299.23/969,891.80 = 225,575.11/x
  3. Step 3: Cross multiply
    646,299.23x = 969,891.80 × 225,575.11
  4. Step 4: Simplify right side
    646,299.23x = 218,783,445,920.49
  5. Step 5: Solve for x
    x = 218,783,445,920.49/646,299.23
  6. Step 6: Final answer
    x = 338,517.26

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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.