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Finding the Fourth Proportional to 339,878.50, 469,091.05 and 196,717.48

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Solution

The fourth proportional to 339,878.50, 469,091.05 and 196,717.48 is: 271,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,878.50 : 469,091.05 = 196,717.48 : x
  2. Step 2: Convert to fraction form
    339,878.50/469,091.05 = 196,717.48/x
  3. Step 3: Cross multiply
    339,878.50x = 469,091.05 × 196,717.48
  4. Step 4: Simplify right side
    339,878.50x = 92,278,407,582.03
  5. Step 5: Solve for x
    x = 92,278,407,582.03/339,878.50
  6. Step 6: Final answer
    x = 271,504.11

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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.