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Finding the Fourth Proportional to 652,201.69, 978,369.57 and 225,736.82

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Solution

The fourth proportional to 652,201.69, 978,369.57 and 225,736.82 is: 338,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,201.69 : 978,369.57 = 225,736.82 : x
  2. Step 2: Convert to fraction form
    652,201.69/978,369.57 = 225,736.82/x
  3. Step 3: Cross multiply
    652,201.69x = 978,369.57 × 225,736.82
  4. Step 4: Simplify right side
    652,201.69x = 220,854,036,080.91
  5. Step 5: Solve for x
    x = 220,854,036,080.91/652,201.69
  6. Step 6: Final answer
    x = 338,628.43

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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.