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Finding the Fourth Proportional to 306,345.72, 422,694.60 and 178,996.68

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Solution

The fourth proportional to 306,345.72, 422,694.60 and 178,996.68 is: 246,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,345.72 : 422,694.60 = 178,996.68 : x
  2. Step 2: Convert to fraction form
    306,345.72/422,694.60 = 178,996.68/x
  3. Step 3: Cross multiply
    306,345.72x = 422,694.60 × 178,996.68
  4. Step 4: Simplify right side
    306,345.72x = 75,660,930,053.93
  5. Step 5: Solve for x
    x = 75,660,930,053.93/306,345.72
  6. Step 6: Final answer
    x = 246,978.90

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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.