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Finding the Fourth Proportional to 400,488, 600,265.44 and 222,910.08

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Solution

The fourth proportional to 400,488, 600,265.44 and 222,910.08 is: 334,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,488 : 600,265.44 = 222,910.08 : x
  2. Step 2: Convert to fraction form
    400,488/600,265.44 = 222,910.08/x
  3. Step 3: Cross multiply
    400,488x = 600,265.44 × 222,910.08
  4. Step 4: Simplify right side
    400,488x = 133,805,217,251.64
  5. Step 5: Solve for x
    x = 133,805,217,251.64/400,488
  6. Step 6: Final answer
    x = 334,105.43

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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.