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Finding the Fourth Proportional to 225,855.57, 339,204.58 and 198,847.51

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Solution

The fourth proportional to 225,855.57, 339,204.58 and 198,847.51 is: 298,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855.57 : 339,204.58 = 198,847.51 : x
  2. Step 2: Convert to fraction form
    225,855.57/339,204.58 = 198,847.51/x
  3. Step 3: Cross multiply
    225,855.57x = 339,204.58 × 198,847.51
  4. Step 4: Simplify right side
    225,855.57x = 67,449,984,768.47
  5. Step 5: Solve for x
    x = 67,449,984,768.47/225,855.57
  6. Step 6: Final answer
    x = 298,642.11

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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.