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Finding the Fourth Proportional to 279,954.78, 419,808.62 and 80,229.84

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Solution

The fourth proportional to 279,954.78, 419,808.62 and 80,229.84 is: 120,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,954.78 : 419,808.62 = 80,229.84 : x
  2. Step 2: Convert to fraction form
    279,954.78/419,808.62 = 80,229.84/x
  3. Step 3: Cross multiply
    279,954.78x = 419,808.62 × 80,229.84
  4. Step 4: Simplify right side
    279,954.78x = 33,681,176,314.18
  5. Step 5: Solve for x
    x = 33,681,176,314.18/279,954.78
  6. Step 6: Final answer
    x = 120,309.35

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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.