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Finding the Fourth Proportional to 652,103.40, 978,325.20 and 252,757.20

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Solution

The fourth proportional to 652,103.40, 978,325.20 and 252,757.20 is: 379,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,103.40 : 978,325.20 = 252,757.20 : x
  2. Step 2: Convert to fraction form
    652,103.40/978,325.20 = 252,757.20/x
  3. Step 3: Cross multiply
    652,103.40x = 978,325.20 × 252,757.20
  4. Step 4: Simplify right side
    652,103.40x = 247,278,738,241.44
  5. Step 5: Solve for x
    x = 247,278,738,241.44/652,103.40
  6. Step 6: Final answer
    x = 379,201.73

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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.