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Finding the Fourth Proportional to 422,209.38, 582,649.83 and 228,619.20

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Solution

The fourth proportional to 422,209.38, 582,649.83 and 228,619.20 is: 315,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,209.38 : 582,649.83 = 228,619.20 : x
  2. Step 2: Convert to fraction form
    422,209.38/582,649.83 = 228,619.20/x
  3. Step 3: Cross multiply
    422,209.38x = 582,649.83 × 228,619.20
  4. Step 4: Simplify right side
    422,209.38x = 133,204,938,014.74
  5. Step 5: Solve for x
    x = 133,204,938,014.74/422,209.38
  6. Step 6: Final answer
    x = 315,494.98

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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.