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Finding the Fourth Proportional to 422,107.98, 582,506.33 and 228,514.28

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Solution

The fourth proportional to 422,107.98, 582,506.33 and 228,514.28 is: 315,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,107.98 : 582,506.33 = 228,514.28 : x
  2. Step 2: Convert to fraction form
    422,107.98/582,506.33 = 228,514.28/x
  3. Step 3: Cross multiply
    422,107.98x = 582,506.33 × 228,514.28
  4. Step 4: Simplify right side
    422,107.98x = 133,111,010,540.29
  5. Step 5: Solve for x
    x = 133,111,010,540.29/422,107.98
  6. Step 6: Final answer
    x = 315,348.24

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1.5x scale

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.