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Finding the Fourth Proportional to 298,936.31, 448,403.85 and 121,401.72

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Solution

The fourth proportional to 298,936.31, 448,403.85 and 121,401.72 is: 182,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,936.31 : 448,403.85 = 121,401.72 : x
  2. Step 2: Convert to fraction form
    298,936.31/448,403.85 = 121,401.72/x
  3. Step 3: Cross multiply
    298,936.31x = 448,403.85 × 121,401.72
  4. Step 4: Simplify right side
    298,936.31x = 54,436,998,644.62
  5. Step 5: Solve for x
    x = 54,436,998,644.62/298,936.31
  6. Step 6: Final answer
    x = 182,102.33

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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.