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Finding the Fourth Proportional to 279,991.10, 419,986.65 and 185,512.70

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Solution

The fourth proportional to 279,991.10, 419,986.65 and 185,512.70 is: 278,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,991.10 : 419,986.65 = 185,512.70 : x
  2. Step 2: Convert to fraction form
    279,991.10/419,986.65 = 185,512.70/x
  3. Step 3: Cross multiply
    279,991.10x = 419,986.65 × 185,512.70
  4. Step 4: Simplify right side
    279,991.10x = 77,912,857,405.46
  5. Step 5: Solve for x
    x = 77,912,857,405.46/279,991.10
  6. Step 6: Final answer
    x = 278,269.05

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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.