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Finding the Fourth Proportional to 201,711.90, 302,567.85 and 198,212.70

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Solution

The fourth proportional to 201,711.90, 302,567.85 and 198,212.70 is: 297,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.90 : 302,567.85 = 198,212.70 : x
  2. Step 2: Convert to fraction form
    201,711.90/302,567.85 = 198,212.70/x
  3. Step 3: Cross multiply
    201,711.90x = 302,567.85 × 198,212.70
  4. Step 4: Simplify right side
    201,711.90x = 59,972,790,481.70
  5. Step 5: Solve for x
    x = 59,972,790,481.70/201,711.90
  6. Step 6: Final answer
    x = 297,319.05

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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.