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Finding the Fourth Proportional to 298,991.73, 412,708.56 and 178,170.91

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Solution

The fourth proportional to 298,991.73, 412,708.56 and 178,170.91 is: 245,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,991.73 : 412,708.56 = 178,170.91 : x
  2. Step 2: Convert to fraction form
    298,991.73/412,708.56 = 178,170.91/x
  3. Step 3: Cross multiply
    298,991.73x = 412,708.56 × 178,170.91
  4. Step 4: Simplify right side
    298,991.73x = 73,532,659,699.99
  5. Step 5: Solve for x
    x = 73,532,659,699.99/298,991.73
  6. Step 6: Final answer
    x = 245,935.43

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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.