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Finding the Fourth Proportional to 407,013.29, 561,711.97 and 225,783.66

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Solution

The fourth proportional to 407,013.29, 561,711.97 and 225,783.66 is: 311,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,013.29 : 561,711.97 = 225,783.66 : x
  2. Step 2: Convert to fraction form
    407,013.29/561,711.97 = 225,783.66/x
  3. Step 3: Cross multiply
    407,013.29x = 561,711.97 × 225,783.66
  4. Step 4: Simplify right side
    407,013.29x = 126,825,384,452.41
  5. Step 5: Solve for x
    x = 126,825,384,452.41/407,013.29
  6. Step 6: Final answer
    x = 311,600.11

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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.