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Finding the Fourth Proportional to 280,595.06, 420,954.79 and 80,899.86

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Solution

The fourth proportional to 280,595.06, 420,954.79 and 80,899.86 is: 121,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,595.06 : 420,954.79 = 80,899.86 : x
  2. Step 2: Convert to fraction form
    280,595.06/420,954.79 = 80,899.86/x
  3. Step 3: Cross multiply
    280,595.06x = 420,954.79 × 80,899.86
  4. Step 4: Simplify right side
    280,595.06x = 34,055,183,577.33
  5. Step 5: Solve for x
    x = 34,055,183,577.33/280,595.06
  6. Step 6: Final answer
    x = 121,367.72

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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.