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Finding the Fourth Proportional to 415,245.69, 622,573.29 and 198,856.62

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Solution

The fourth proportional to 415,245.69, 622,573.29 and 198,856.62 is: 298,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,245.69 : 622,573.29 = 198,856.62 : x
  2. Step 2: Convert to fraction form
    415,245.69/622,573.29 = 198,856.62/x
  3. Step 3: Cross multiply
    415,245.69x = 622,573.29 × 198,856.62
  4. Step 4: Simplify right side
    415,245.69x = 123,802,820,151.68
  5. Step 5: Solve for x
    x = 123,802,820,151.68/415,245.69
  6. Step 6: Final answer
    x = 298,143.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.