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Finding the Fourth Proportional to 280,568.76, 420,912.25 and 91,014.33

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Solution

The fourth proportional to 280,568.76, 420,912.25 and 91,014.33 is: 136,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,568.76 : 420,912.25 = 91,014.33 : x
  2. Step 2: Convert to fraction form
    280,568.76/420,912.25 = 91,014.33/x
  3. Step 3: Cross multiply
    280,568.76x = 420,912.25 × 91,014.33
  4. Step 4: Simplify right side
    280,568.76x = 38,309,043,862.91
  5. Step 5: Solve for x
    x = 38,309,043,862.91/280,568.76
  6. Step 6: Final answer
    x = 136,540.66

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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.