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Finding the Fourth Proportional to 309,216.20, 463,286.70 and 142,662.60

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Solution

The fourth proportional to 309,216.20, 463,286.70 and 142,662.60 is: 213,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.20 : 463,286.70 = 142,662.60 : x
  2. Step 2: Convert to fraction form
    309,216.20/463,286.70 = 142,662.60/x
  3. Step 3: Cross multiply
    309,216.20x = 463,286.70 × 142,662.60
  4. Step 4: Simplify right side
    309,216.20x = 66,093,685,167.42
  5. Step 5: Solve for x
    x = 66,093,685,167.42/309,216.20
  6. Step 6: Final answer
    x = 213,745.87

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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.