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Finding the Fourth Proportional to 422,246.94, 582,710.40 and 231,258.66

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Solution

The fourth proportional to 422,246.94, 582,710.40 and 231,258.66 is: 319,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,246.94 : 582,710.40 = 231,258.66 : x
  2. Step 2: Convert to fraction form
    422,246.94/582,710.40 = 231,258.66/x
  3. Step 3: Cross multiply
    422,246.94x = 582,710.40 × 231,258.66
  4. Step 4: Simplify right side
    422,246.94x = 134,756,826,272.06
  5. Step 5: Solve for x
    x = 134,756,826,272.06/422,246.94
  6. Step 6: Final answer
    x = 319,142.22

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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.