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Finding the Fourth Proportional to 218,821.08, 328,100.40 and 100,344

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Solution

The fourth proportional to 218,821.08, 328,100.40 and 100,344 is: 150,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821.08 : 328,100.40 = 100,344 : x
  2. Step 2: Convert to fraction form
    218,821.08/328,100.40 = 100,344/x
  3. Step 3: Cross multiply
    218,821.08x = 328,100.40 × 100,344
  4. Step 4: Simplify right side
    218,821.08x = 32,922,906,537.60
  5. Step 5: Solve for x
    x = 32,922,906,537.60/218,821.08
  6. Step 6: Final answer
    x = 150,455.83

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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.