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Finding the Fourth Proportional to 220,503.20, 330,414.60 and 164,078.60

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Solution

The fourth proportional to 220,503.20, 330,414.60 and 164,078.60 is: 245,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,503.20 : 330,414.60 = 164,078.60 : x
  2. Step 2: Convert to fraction form
    220,503.20/330,414.60 = 164,078.60/x
  3. Step 3: Cross multiply
    220,503.20x = 330,414.60 × 164,078.60
  4. Step 4: Simplify right side
    220,503.20x = 54,213,964,987.56
  5. Step 5: Solve for x
    x = 54,213,964,987.56/220,503.20
  6. Step 6: Final answer
    x = 245,864.75

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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.