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Finding the Fourth Proportional to 422,128.30, 582,538 and 228,538.06

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Solution

The fourth proportional to 422,128.30, 582,538 and 228,538.06 is: 315,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,128.30 : 582,538 = 228,538.06 : x
  2. Step 2: Convert to fraction form
    422,128.30/582,538 = 228,538.06/x
  3. Step 3: Cross multiply
    422,128.30x = 582,538 × 228,538.06
  4. Step 4: Simplify right side
    422,128.30x = 133,132,104,396.28
  5. Step 5: Solve for x
    x = 133,132,104,396.28/422,128.30
  6. Step 6: Final answer
    x = 315,383.03

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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.