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Finding the Fourth Proportional to 422,306.60, 582,780.21 and 228,709.85

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Solution

The fourth proportional to 422,306.60, 582,780.21 and 228,709.85 is: 315,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,306.60 : 582,780.21 = 228,709.85 : x
  2. Step 2: Convert to fraction form
    422,306.60/582,780.21 = 228,709.85/x
  3. Step 3: Cross multiply
    422,306.60x = 582,780.21 × 228,709.85
  4. Step 4: Simplify right side
    422,306.60x = 133,287,574,412.07
  5. Step 5: Solve for x
    x = 133,287,574,412.07/422,306.60
  6. Step 6: Final answer
    x = 315,618.02

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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.