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Finding the Fourth Proportional to 279,940.51, 419,824.63 and 80,207.34

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Solution

The fourth proportional to 279,940.51, 419,824.63 and 80,207.34 is: 120,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,940.51 : 419,824.63 = 80,207.34 : x
  2. Step 2: Convert to fraction form
    279,940.51/419,824.63 = 80,207.34/x
  3. Step 3: Cross multiply
    279,940.51x = 419,824.63 × 80,207.34
  4. Step 4: Simplify right side
    279,940.51x = 33,673,016,838.78
  5. Step 5: Solve for x
    x = 33,673,016,838.78/279,940.51
  6. Step 6: Final answer
    x = 120,286.33

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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.