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Finding the Fourth Proportional to 303,859.96, 419,324.28 and 167,893.36

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Solution

The fourth proportional to 303,859.96, 419,324.28 and 167,893.36 is: 231,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,859.96 : 419,324.28 = 167,893.36 : x
  2. Step 2: Convert to fraction form
    303,859.96/419,324.28 = 167,893.36/x
  3. Step 3: Cross multiply
    303,859.96x = 419,324.28 × 167,893.36
  4. Step 4: Simplify right side
    303,859.96x = 70,401,762,298.78
  5. Step 5: Solve for x
    x = 70,401,762,298.78/303,859.96
  6. Step 6: Final answer
    x = 231,691.47

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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.