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Finding the Fourth Proportional to 280,652.89, 420,928.62 and 80,924.17

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Solution

The fourth proportional to 280,652.89, 420,928.62 and 80,924.17 is: 121,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,652.89 : 420,928.62 = 80,924.17 : x
  2. Step 2: Convert to fraction form
    280,652.89/420,928.62 = 80,924.17/x
  3. Step 3: Cross multiply
    280,652.89x = 420,928.62 × 80,924.17
  4. Step 4: Simplify right side
    280,652.89x = 34,063,299,202.75
  5. Step 5: Solve for x
    x = 34,063,299,202.75/280,652.89
  6. Step 6: Final answer
    x = 121,371.63

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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.