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Finding the Fourth Proportional to 220,921.20, 331,041.60 and 164,496.60

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Solution

The fourth proportional to 220,921.20, 331,041.60 and 164,496.60 is: 246,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,921.20 : 331,041.60 = 164,496.60 : x
  2. Step 2: Convert to fraction form
    220,921.20/331,041.60 = 164,496.60/x
  3. Step 3: Cross multiply
    220,921.20x = 331,041.60 × 164,496.60
  4. Step 4: Simplify right side
    220,921.20x = 54,455,217,658.56
  5. Step 5: Solve for x
    x = 54,455,217,658.56/220,921.20
  6. Step 6: Final answer
    x = 246,491.59

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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.