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Finding the Fourth Proportional to 212,819.70, 319,229.55 and 209,709.30

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Solution

The fourth proportional to 212,819.70, 319,229.55 and 209,709.30 is: 314,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,819.70 : 319,229.55 = 209,709.30 : x
  2. Step 2: Convert to fraction form
    212,819.70/319,229.55 = 209,709.30/x
  3. Step 3: Cross multiply
    212,819.70x = 319,229.55 × 209,709.30
  4. Step 4: Simplify right side
    212,819.70x = 66,945,405,469.82
  5. Step 5: Solve for x
    x = 66,945,405,469.82/212,819.70
  6. Step 6: Final answer
    x = 314,563.95

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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.