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Finding the Fourth Proportional to 490,198.60, 735,297.90 and 312,176.80

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Solution

The fourth proportional to 490,198.60, 735,297.90 and 312,176.80 is: 468,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,198.60 : 735,297.90 = 312,176.80 : x
  2. Step 2: Convert to fraction form
    490,198.60/735,297.90 = 312,176.80/x
  3. Step 3: Cross multiply
    490,198.60x = 735,297.90 × 312,176.80
  4. Step 4: Simplify right side
    490,198.60x = 229,542,945,468.72
  5. Step 5: Solve for x
    x = 229,542,945,468.72/490,198.60
  6. Step 6: Final answer
    x = 468,265.20

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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.