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Finding the Fourth Proportional to 422,306.16, 582,782.55 and 231,326.38

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Solution

The fourth proportional to 422,306.16, 582,782.55 and 231,326.38 is: 319,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,306.16 : 582,782.55 = 231,326.38 : x
  2. Step 2: Convert to fraction form
    422,306.16/582,782.55 = 231,326.38/x
  3. Step 3: Cross multiply
    422,306.16x = 582,782.55 × 231,326.38
  4. Step 4: Simplify right side
    422,306.16x = 134,812,977,479.67
  5. Step 5: Solve for x
    x = 134,812,977,479.67/422,306.16
  6. Step 6: Final answer
    x = 319,230.43

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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.