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Finding the Fourth Proportional to 318,408.36, 439,221.06 and 198,969

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Solution

The fourth proportional to 318,408.36, 439,221.06 and 198,969 is: 274,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,408.36 : 439,221.06 = 198,969 : x
  2. Step 2: Convert to fraction form
    318,408.36/439,221.06 = 198,969/x
  3. Step 3: Cross multiply
    318,408.36x = 439,221.06 × 198,969
  4. Step 4: Simplify right side
    318,408.36x = 87,391,375,087.14
  5. Step 5: Solve for x
    x = 87,391,375,087.14/318,408.36
  6. Step 6: Final answer
    x = 274,463.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.