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Finding the Fourth Proportional to 209,212.70, 313,819.05 and 201,047.90

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Solution

The fourth proportional to 209,212.70, 313,819.05 and 201,047.90 is: 301,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,212.70 : 313,819.05 = 201,047.90 : x
  2. Step 2: Convert to fraction form
    209,212.70/313,819.05 = 201,047.90/x
  3. Step 3: Cross multiply
    209,212.70x = 313,819.05 × 201,047.90
  4. Step 4: Simplify right side
    209,212.70x = 63,092,660,982.50
  5. Step 5: Solve for x
    x = 63,092,660,982.50/209,212.70
  6. Step 6: Final answer
    x = 301,571.85

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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.