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Finding the Fourth Proportional to 652,388.48, 978,348.07 and 225,808.66

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Solution

The fourth proportional to 652,388.48, 978,348.07 and 225,808.66 is: 338,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,388.48 : 978,348.07 = 225,808.66 : x
  2. Step 2: Convert to fraction form
    652,388.48/978,348.07 = 225,808.66/x
  3. Step 3: Cross multiply
    652,388.48x = 978,348.07 × 225,808.66
  4. Step 4: Simplify right side
    652,388.48x = 220,919,468,205.48
  5. Step 5: Solve for x
    x = 220,919,468,205.48/652,388.48
  6. Step 6: Final answer
    x = 338,631.77

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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.