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Finding the Fourth Proportional to 267,704.40, 400,865.40 and 212,408.40

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Solution

The fourth proportional to 267,704.40, 400,865.40 and 212,408.40 is: 318,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,704.40 : 400,865.40 = 212,408.40 : x
  2. Step 2: Convert to fraction form
    267,704.40/400,865.40 = 212,408.40/x
  3. Step 3: Cross multiply
    267,704.40x = 400,865.40 × 212,408.40
  4. Step 4: Simplify right side
    267,704.40x = 85,147,178,229.36
  5. Step 5: Solve for x
    x = 85,147,178,229.36/267,704.40
  6. Step 6: Final answer
    x = 318,064.17

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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.