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Finding the Fourth Proportional to 398,186.60, 597,278.82 and 327,917.48

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Solution

The fourth proportional to 398,186.60, 597,278.82 and 327,917.48 is: 491,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,186.60 : 597,278.82 = 327,917.48 : x
  2. Step 2: Convert to fraction form
    398,186.60/597,278.82 = 327,917.48/x
  3. Step 3: Cross multiply
    398,186.60x = 597,278.82 × 327,917.48
  4. Step 4: Simplify right side
    398,186.60x = 195,858,165,511.77
  5. Step 5: Solve for x
    x = 195,858,165,511.77/398,186.60
  6. Step 6: Final answer
    x = 491,875.33

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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.