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Finding the Fourth Proportional to 278,910, 419,882.67 and 254,109.42

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Solution

The fourth proportional to 278,910, 419,882.67 and 254,109.42 is: 382,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,910 : 419,882.67 = 254,109.42 : x
  2. Step 2: Convert to fraction form
    278,910/419,882.67 = 254,109.42/x
  3. Step 3: Cross multiply
    278,910x = 419,882.67 × 254,109.42
  4. Step 4: Simplify right side
    278,910x = 106,696,141,741.75
  5. Step 5: Solve for x
    x = 106,696,141,741.75/278,910
  6. Step 6: Final answer
    x = 382,546.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.