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Finding the Fourth Proportional to 280,177.80, 420,269.75 and 80,499.84

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Solution

The fourth proportional to 280,177.80, 420,269.75 and 80,499.84 is: 120,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,177.80 : 420,269.75 = 80,499.84 : x
  2. Step 2: Convert to fraction form
    280,177.80/420,269.75 = 80,499.84/x
  3. Step 3: Cross multiply
    280,177.80x = 420,269.75 × 80,499.84
  4. Step 4: Simplify right side
    280,177.80x = 33,831,647,229.34
  5. Step 5: Solve for x
    x = 33,831,647,229.34/280,177.80
  6. Step 6: Final answer
    x = 120,750.63

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1.5x scale

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.