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Finding the Fourth Proportional to 490,638.82, 677,100.78 and 275,778.22

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Solution

The fourth proportional to 490,638.82, 677,100.78 and 275,778.22 is: 380,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.82 : 677,100.78 = 275,778.22 : x
  2. Step 2: Convert to fraction form
    490,638.82/677,100.78 = 275,778.22/x
  3. Step 3: Cross multiply
    490,638.82x = 677,100.78 × 275,778.22
  4. Step 4: Simplify right side
    490,638.82x = 186,729,647,869.01
  5. Step 5: Solve for x
    x = 186,729,647,869.01/490,638.82
  6. Step 6: Final answer
    x = 380,584.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.