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Finding the Fourth Proportional to 200,471.22, 300,762 and 178,438.50

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Solution

The fourth proportional to 200,471.22, 300,762 and 178,438.50 is: 267,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471.22 : 300,762 = 178,438.50 : x
  2. Step 2: Convert to fraction form
    200,471.22/300,762 = 178,438.50/x
  3. Step 3: Cross multiply
    200,471.22x = 300,762 × 178,438.50
  4. Step 4: Simplify right side
    200,471.22x = 53,667,520,137
  5. Step 5: Solve for x
    x = 53,667,520,137/200,471.22
  6. Step 6: Final answer
    x = 267,706.86

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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.