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Finding the Fourth Proportional to 298,992.59, 412,709.76 and 178,171.78

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Solution

The fourth proportional to 298,992.59, 412,709.76 and 178,171.78 is: 245,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,992.59 : 412,709.76 = 178,171.78 : x
  2. Step 2: Convert to fraction form
    298,992.59/412,709.76 = 178,171.78/x
  3. Step 3: Cross multiply
    298,992.59x = 412,709.76 × 178,171.78
  4. Step 4: Simplify right side
    298,992.59x = 73,533,231,530.80
  5. Step 5: Solve for x
    x = 73,533,231,530.80/298,992.59
  6. Step 6: Final answer
    x = 245,936.63

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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.