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Finding the Fourth Proportional to 652,115.40, 978,343.20 and 252,769.20

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Solution

The fourth proportional to 652,115.40, 978,343.20 and 252,769.20 is: 379,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,115.40 : 978,343.20 = 252,769.20 : x
  2. Step 2: Convert to fraction form
    652,115.40/978,343.20 = 252,769.20/x
  3. Step 3: Cross multiply
    652,115.40x = 978,343.20 × 252,769.20
  4. Step 4: Simplify right side
    652,115.40x = 247,295,027,989.44
  5. Step 5: Solve for x
    x = 247,295,027,989.44/652,115.40
  6. Step 6: Final answer
    x = 379,219.73

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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.