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Finding the Fourth Proportional to 309,344, 464,016 and 75,872

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Solution

The fourth proportional to 309,344, 464,016 and 75,872 is: 113,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,344 : 464,016 = 75,872 : x
  2. Step 2: Convert to fraction form
    309,344/464,016 = 75,872/x
  3. Step 3: Cross multiply
    309,344x = 464,016 × 75,872
  4. Step 4: Simplify right side
    309,344x = 35,205,821,952
  5. Step 5: Solve for x
    x = 35,205,821,952/309,344
  6. Step 6: Final answer
    x = 113,808

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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.