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Finding the Fourth Proportional to 330,297.75, 455,849.78 and 196,161.75

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Solution

The fourth proportional to 330,297.75, 455,849.78 and 196,161.75 is: 270,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,297.75 : 455,849.78 = 196,161.75 : x
  2. Step 2: Convert to fraction form
    330,297.75/455,849.78 = 196,161.75/x
  3. Step 3: Cross multiply
    330,297.75x = 455,849.78 × 196,161.75
  4. Step 4: Simplify right side
    330,297.75x = 89,420,289,601.11
  5. Step 5: Solve for x
    x = 89,420,289,601.11/330,297.75
  6. Step 6: Final answer
    x = 270,726.31

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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.