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Finding the Fourth Proportional to 422,383.90, 582,422.80 and 269,179.54

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Solution

The fourth proportional to 422,383.90, 582,422.80 and 269,179.54 is: 371,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,383.90 : 582,422.80 = 269,179.54 : x
  2. Step 2: Convert to fraction form
    422,383.90/582,422.80 = 269,179.54/x
  3. Step 3: Cross multiply
    422,383.90x = 582,422.80 × 269,179.54
  4. Step 4: Simplify right side
    422,383.90x = 156,776,301,389.51
  5. Step 5: Solve for x
    x = 156,776,301,389.51/422,383.90
  6. Step 6: Final answer
    x = 371,170.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.