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Finding the Fourth Proportional to 279,939.80, 419,783.30 and 80,214.52

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Solution

The fourth proportional to 279,939.80, 419,783.30 and 80,214.52 is: 120,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,939.80 : 419,783.30 = 80,214.52 : x
  2. Step 2: Convert to fraction form
    279,939.80/419,783.30 = 80,214.52/x
  3. Step 3: Cross multiply
    279,939.80x = 419,783.30 × 80,214.52
  4. Step 4: Simplify right side
    279,939.80x = 33,672,715,913.52
  5. Step 5: Solve for x
    x = 33,672,715,913.52/279,939.80
  6. Step 6: Final answer
    x = 120,285.56

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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.