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Finding the Fourth Proportional to 408,441.38, 612,745.07 and 142,222.64

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Solution

The fourth proportional to 408,441.38, 612,745.07 and 142,222.64 is: 213,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,441.38 : 612,745.07 = 142,222.64 : x
  2. Step 2: Convert to fraction form
    408,441.38/612,745.07 = 142,222.64/x
  3. Step 3: Cross multiply
    408,441.38x = 612,745.07 × 142,222.64
  4. Step 4: Simplify right side
    408,441.38x = 87,146,217,727.55
  5. Step 5: Solve for x
    x = 87,146,217,727.55/408,441.38
  6. Step 6: Final answer
    x = 213,362.85

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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.