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Finding the Fourth Proportional to 220,642.20, 330,623.10 and 164,217.60

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Solution

The fourth proportional to 220,642.20, 330,623.10 and 164,217.60 is: 246,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642.20 : 330,623.10 = 164,217.60 : x
  2. Step 2: Convert to fraction form
    220,642.20/330,623.10 = 164,217.60/x
  3. Step 3: Cross multiply
    220,642.20x = 330,623.10 × 164,217.60
  4. Step 4: Simplify right side
    220,642.20x = 54,294,131,986.56
  5. Step 5: Solve for x
    x = 54,294,131,986.56/220,642.20
  6. Step 6: Final answer
    x = 246,073.20

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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.