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Finding the Fourth Proportional to 422,185.90, 582,612.17 and 228,590.28

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Solution

The fourth proportional to 422,185.90, 582,612.17 and 228,590.28 is: 315,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,185.90 : 582,612.17 = 228,590.28 : x
  2. Step 2: Convert to fraction form
    422,185.90/582,612.17 = 228,590.28/x
  3. Step 3: Cross multiply
    422,185.90x = 582,612.17 × 228,590.28
  4. Step 4: Simplify right side
    422,185.90x = 133,179,479,071.71
  5. Step 5: Solve for x
    x = 133,179,479,071.71/422,185.90
  6. Step 6: Final answer
    x = 315,452.22

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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.