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Finding the Fourth Proportional to 219,212.70, 328,819.05 and 206,090.70

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Solution

The fourth proportional to 219,212.70, 328,819.05 and 206,090.70 is: 309,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,212.70 : 328,819.05 = 206,090.70 : x
  2. Step 2: Convert to fraction form
    219,212.70/328,819.05 = 206,090.70/x
  3. Step 3: Cross multiply
    219,212.70x = 328,819.05 × 206,090.70
  4. Step 4: Simplify right side
    219,212.70x = 67,766,548,187.84
  5. Step 5: Solve for x
    x = 67,766,548,187.84/219,212.70
  6. Step 6: Final answer
    x = 309,136.05

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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.