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Finding the Fourth Proportional to 490,469.31, 735,987.87 and 206,137.44

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Solution

The fourth proportional to 490,469.31, 735,987.87 and 206,137.44 is: 309,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,469.31 : 735,987.87 = 206,137.44 : x
  2. Step 2: Convert to fraction form
    490,469.31/735,987.87 = 206,137.44/x
  3. Step 3: Cross multiply
    490,469.31x = 735,987.87 × 206,137.44
  4. Step 4: Simplify right side
    490,469.31x = 151,714,655,392.85
  5. Step 5: Solve for x
    x = 151,714,655,392.85/490,469.31
  6. Step 6: Final answer
    x = 309,325.48

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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.