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Finding the Fourth Proportional to 422,057.48, 582,441.02 and 231,088.64

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Solution

The fourth proportional to 422,057.48, 582,441.02 and 231,088.64 is: 318,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,057.48 : 582,441.02 = 231,088.64 : x
  2. Step 2: Convert to fraction form
    422,057.48/582,441.02 = 231,088.64/x
  3. Step 3: Cross multiply
    422,057.48x = 582,441.02 × 231,088.64
  4. Step 4: Simplify right side
    422,057.48x = 134,595,503,192.01
  5. Step 5: Solve for x
    x = 134,595,503,192.01/422,057.48
  6. Step 6: Final answer
    x = 318,903.25

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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.