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Finding the Fourth Proportional to 652,612, 978,918 and 231,904.48

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Solution

The fourth proportional to 652,612, 978,918 and 231,904.48 is: 347,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,612 : 978,918 = 231,904.48 : x
  2. Step 2: Convert to fraction form
    652,612/978,918 = 231,904.48/x
  3. Step 3: Cross multiply
    652,612x = 978,918 × 231,904.48
  4. Step 4: Simplify right side
    652,612x = 227,015,469,752.64
  5. Step 5: Solve for x
    x = 227,015,469,752.64/652,612
  6. Step 6: Final answer
    x = 347,856.72

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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.