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Finding the Fourth Proportional to 412,204, 618,394.20 and 127,888.44

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Solution

The fourth proportional to 412,204, 618,394.20 and 127,888.44 is: 191,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,204 : 618,394.20 = 127,888.44 : x
  2. Step 2: Convert to fraction form
    412,204/618,394.20 = 127,888.44/x
  3. Step 3: Cross multiply
    412,204x = 618,394.20 × 127,888.44
  4. Step 4: Simplify right side
    412,204x = 79,085,469,543.05
  5. Step 5: Solve for x
    x = 79,085,469,543.05/412,204
  6. Step 6: Final answer
    x = 191,860.02

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1.5x scale

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.