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Finding the Fourth Proportional to 422,240.65, 582,691.79 and 228,648.29

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Solution

The fourth proportional to 422,240.65, 582,691.79 and 228,648.29 is: 315,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,240.65 : 582,691.79 = 228,648.29 : x
  2. Step 2: Convert to fraction form
    422,240.65/582,691.79 = 228,648.29/x
  3. Step 3: Cross multiply
    422,240.65x = 582,691.79 × 228,648.29
  4. Step 4: Simplify right side
    422,240.65x = 133,231,479,038.70
  5. Step 5: Solve for x
    x = 133,231,479,038.70/422,240.65
  6. Step 6: Final answer
    x = 315,534.47

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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.