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Finding the Fourth Proportional to 298,099.74, 411,375.69 and 169,062.78

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Solution

The fourth proportional to 298,099.74, 411,375.69 and 169,062.78 is: 233,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,099.74 : 411,375.69 = 169,062.78 : x
  2. Step 2: Convert to fraction form
    298,099.74/411,375.69 = 169,062.78/x
  3. Step 3: Cross multiply
    298,099.74x = 411,375.69 × 169,062.78
  4. Step 4: Simplify right side
    298,099.74x = 69,548,317,775.82
  5. Step 5: Solve for x
    x = 69,548,317,775.82/298,099.74
  6. Step 6: Final answer
    x = 233,305.53

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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.