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Finding the Fourth Proportional to 407,106.66, 561,874.44 and 225,876.90

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Solution

The fourth proportional to 407,106.66, 561,874.44 and 225,876.90 is: 311,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,106.66 : 561,874.44 = 225,876.90 : x
  2. Step 2: Convert to fraction form
    407,106.66/561,874.44 = 225,876.90/x
  3. Step 3: Cross multiply
    407,106.66x = 561,874.44 × 225,876.90
  4. Step 4: Simplify right side
    407,106.66x = 126,914,456,696.44
  5. Step 5: Solve for x
    x = 126,914,456,696.44/407,106.66
  6. Step 6: Final answer
    x = 311,747.43

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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.