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Finding the Fourth Proportional to 422,313.57, 582,793.02 and 231,327.72

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Solution

The fourth proportional to 422,313.57, 582,793.02 and 231,327.72 is: 319,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,313.57 : 582,793.02 = 231,327.72 : x
  2. Step 2: Convert to fraction form
    422,313.57/582,793.02 = 231,327.72/x
  3. Step 3: Cross multiply
    422,313.57x = 582,793.02 × 231,327.72
  4. Step 4: Simplify right side
    422,313.57x = 134,816,180,548.51
  5. Step 5: Solve for x
    x = 134,816,180,548.51/422,313.57
  6. Step 6: Final answer
    x = 319,232.41

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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.