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Finding the Fourth Proportional to 220,646.20, 330,629.10 and 164,221.60

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Solution

The fourth proportional to 220,646.20, 330,629.10 and 164,221.60 is: 246,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,646.20 : 330,629.10 = 164,221.60 : x
  2. Step 2: Convert to fraction form
    220,646.20/330,629.10 = 164,221.60/x
  3. Step 3: Cross multiply
    220,646.20x = 330,629.10 × 164,221.60
  4. Step 4: Simplify right side
    220,646.20x = 54,296,439,808.56
  5. Step 5: Solve for x
    x = 54,296,439,808.56/220,646.20
  6. Step 6: Final answer
    x = 246,079.20

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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.