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Finding the Fourth Proportional to 280,135.20, 420,138.72 and 80,454

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Solution

The fourth proportional to 280,135.20, 420,138.72 and 80,454 is: 120,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,135.20 : 420,138.72 = 80,454 : x
  2. Step 2: Convert to fraction form
    280,135.20/420,138.72 = 80,454/x
  3. Step 3: Cross multiply
    280,135.20x = 420,138.72 × 80,454
  4. Step 4: Simplify right side
    280,135.20x = 33,801,840,578.88
  5. Step 5: Solve for x
    x = 33,801,840,578.88/280,135.20
  6. Step 6: Final answer
    x = 120,662.60

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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.