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Finding the Fourth Proportional to 218,704.40, 328,069.56 and 68,949.44

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Solution

The fourth proportional to 218,704.40, 328,069.56 and 68,949.44 is: 103,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,704.40 : 328,069.56 = 68,949.44 : x
  2. Step 2: Convert to fraction form
    218,704.40/328,069.56 = 68,949.44/x
  3. Step 3: Cross multiply
    218,704.40x = 328,069.56 × 68,949.44
  4. Step 4: Simplify right side
    218,704.40x = 22,620,212,443.05
  5. Step 5: Solve for x
    x = 22,620,212,443.05/218,704.40
  6. Step 6: Final answer
    x = 103,428.25

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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.