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Finding the Fourth Proportional to 422,728.80, 583,388.10 and 231,750.24

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Solution

The fourth proportional to 422,728.80, 583,388.10 and 231,750.24 is: 319,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,728.80 : 583,388.10 = 231,750.24 : x
  2. Step 2: Convert to fraction form
    422,728.80/583,388.10 = 231,750.24/x
  3. Step 3: Cross multiply
    422,728.80x = 583,388.10 × 231,750.24
  4. Step 4: Simplify right side
    422,728.80x = 135,200,332,188.14
  5. Step 5: Solve for x
    x = 135,200,332,188.14/422,728.80
  6. Step 6: Final answer
    x = 319,827.59

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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.