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Finding the Fourth Proportional to 227,211.70, 340,817.55 and 205,093.30

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Solution

The fourth proportional to 227,211.70, 340,817.55 and 205,093.30 is: 307,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,211.70 : 340,817.55 = 205,093.30 : x
  2. Step 2: Convert to fraction form
    227,211.70/340,817.55 = 205,093.30/x
  3. Step 3: Cross multiply
    227,211.70x = 340,817.55 × 205,093.30
  4. Step 4: Simplify right side
    227,211.70x = 69,899,396,027.42
  5. Step 5: Solve for x
    x = 69,899,396,027.42/227,211.70
  6. Step 6: Final answer
    x = 307,639.95

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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.