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Finding the Fourth Proportional to 280,647.09, 420,778.49 and 100,728.53

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Solution

The fourth proportional to 280,647.09, 420,778.49 and 100,728.53 is: 151,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,647.09 : 420,778.49 = 100,728.53 : x
  2. Step 2: Convert to fraction form
    280,647.09/420,778.49 = 100,728.53/x
  3. Step 3: Cross multiply
    280,647.09x = 420,778.49 × 100,728.53
  4. Step 4: Simplify right side
    280,647.09x = 42,384,396,712.38
  5. Step 5: Solve for x
    x = 42,384,396,712.38/280,647.09
  6. Step 6: Final answer
    x = 151,023.82

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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.