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Finding the Fourth Proportional to 422,392.34, 582,896.57 and 228,796.40

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Solution

The fourth proportional to 422,392.34, 582,896.57 and 228,796.40 is: 315,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,392.34 : 582,896.57 = 228,796.40 : x
  2. Step 2: Convert to fraction form
    422,392.34/582,896.57 = 228,796.40/x
  3. Step 3: Cross multiply
    422,392.34x = 582,896.57 × 228,796.40
  4. Step 4: Simplify right side
    422,392.34x = 133,364,632,729.88
  5. Step 5: Solve for x
    x = 133,364,632,729.88/422,392.34
  6. Step 6: Final answer
    x = 315,736.39

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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.