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Finding the Fourth Proportional to 220,563, 330,844.50 and 54,351

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Solution

The fourth proportional to 220,563, 330,844.50 and 54,351 is: 81,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,563 : 330,844.50 = 54,351 : x
  2. Step 2: Convert to fraction form
    220,563/330,844.50 = 54,351/x
  3. Step 3: Cross multiply
    220,563x = 330,844.50 × 54,351
  4. Step 4: Simplify right side
    220,563x = 17,981,729,419.50
  5. Step 5: Solve for x
    x = 17,981,729,419.50/220,563
  6. Step 6: Final answer
    x = 81,526.50

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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.