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Finding the Fourth Proportional to 422,164.70, 582,569.79 and 231,174.80

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Solution

The fourth proportional to 422,164.70, 582,569.79 and 231,174.80 is: 319,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,164.70 : 582,569.79 = 231,174.80 : x
  2. Step 2: Convert to fraction form
    422,164.70/582,569.79 = 231,174.80/x
  3. Step 3: Cross multiply
    422,164.70x = 582,569.79 × 231,174.80
  4. Step 4: Simplify right side
    422,164.70x = 134,675,454,689.29
  5. Step 5: Solve for x
    x = 134,675,454,689.29/422,164.70
  6. Step 6: Final answer
    x = 319,011.64

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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.