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Finding the Fourth Proportional to 422,100.39, 582,494.10 and 228,503.76

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Solution

The fourth proportional to 422,100.39, 582,494.10 and 228,503.76 is: 315,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,100.39 : 582,494.10 = 228,503.76 : x
  2. Step 2: Convert to fraction form
    422,100.39/582,494.10 = 228,503.76/x
  3. Step 3: Cross multiply
    422,100.39x = 582,494.10 × 228,503.76
  4. Step 4: Simplify right side
    422,100.39x = 133,102,092,027.82
  5. Step 5: Solve for x
    x = 133,102,092,027.82/422,100.39
  6. Step 6: Final answer
    x = 315,332.79

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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.