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Finding the Fourth Proportional to 422,128.48, 582,538.22 and 228,538.22

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Solution

The fourth proportional to 422,128.48, 582,538.22 and 228,538.22 is: 315,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,128.48 : 582,538.22 = 228,538.22 : x
  2. Step 2: Convert to fraction form
    422,128.48/582,538.22 = 228,538.22/x
  3. Step 3: Cross multiply
    422,128.48x = 582,538.22 × 228,538.22
  4. Step 4: Simplify right side
    422,128.48x = 133,132,247,880.77
  5. Step 5: Solve for x
    x = 133,132,247,880.77/422,128.48
  6. Step 6: Final answer
    x = 315,383.24

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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.