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Finding the Fourth Proportional to 421,902.96, 582,227.61 and 228,310.65

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Solution

The fourth proportional to 421,902.96, 582,227.61 and 228,310.65 is: 315,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,902.96 : 582,227.61 = 228,310.65 : x
  2. Step 2: Convert to fraction form
    421,902.96/582,227.61 = 228,310.65/x
  3. Step 3: Cross multiply
    421,902.96x = 582,227.61 × 228,310.65
  4. Step 4: Simplify right side
    421,902.96x = 132,928,761,095.67
  5. Step 5: Solve for x
    x = 132,928,761,095.67/421,902.96
  6. Step 6: Final answer
    x = 315,069.52

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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.