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Finding the Fourth Proportional to 220,712.20, 330,728.10 and 164,287.60

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Solution

The fourth proportional to 220,712.20, 330,728.10 and 164,287.60 is: 246,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,712.20 : 330,728.10 = 164,287.60 : x
  2. Step 2: Convert to fraction form
    220,712.20/330,728.10 = 164,287.60/x
  3. Step 3: Cross multiply
    220,712.20x = 330,728.10 × 164,287.60
  4. Step 4: Simplify right side
    220,712.20x = 54,334,525,801.56
  5. Step 5: Solve for x
    x = 54,334,525,801.56/220,712.20
  6. Step 6: Final answer
    x = 246,178.17

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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.