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Finding the Fourth Proportional to 422,138.87, 582,551.77 and 228,546.54

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Solution

The fourth proportional to 422,138.87, 582,551.77 and 228,546.54 is: 315,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,138.87 : 582,551.77 = 228,546.54 : x
  2. Step 2: Convert to fraction form
    422,138.87/582,551.77 = 228,546.54/x
  3. Step 3: Cross multiply
    422,138.87x = 582,551.77 × 228,546.54
  4. Step 4: Simplify right side
    422,138.87x = 133,140,191,404.38
  5. Step 5: Solve for x
    x = 133,140,191,404.38/422,138.87
  6. Step 6: Final answer
    x = 315,394.30

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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.