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Finding the Fourth Proportional to 538,107.30, 806,869.35 and 222,207.30

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Solution

The fourth proportional to 538,107.30, 806,869.35 and 222,207.30 is: 333,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,107.30 : 806,869.35 = 222,207.30 : x
  2. Step 2: Convert to fraction form
    538,107.30/806,869.35 = 222,207.30/x
  3. Step 3: Cross multiply
    538,107.30x = 806,869.35 × 222,207.30
  4. Step 4: Simplify right side
    538,107.30x = 179,292,259,716.26
  5. Step 5: Solve for x
    x = 179,292,259,716.26/538,107.30
  6. Step 6: Final answer
    x = 333,190.54

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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.