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Finding the Fourth Proportional to 399,401.97, 599,108.25 and 133,162.56

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Solution

The fourth proportional to 399,401.97, 599,108.25 and 133,162.56 is: 199,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,401.97 : 599,108.25 = 133,162.56 : x
  2. Step 2: Convert to fraction form
    399,401.97/599,108.25 = 133,162.56/x
  3. Step 3: Cross multiply
    399,401.97x = 599,108.25 × 133,162.56
  4. Step 4: Simplify right side
    399,401.97x = 79,778,788,287.12
  5. Step 5: Solve for x
    x = 79,778,788,287.12/399,401.97
  6. Step 6: Final answer
    x = 199,745.61

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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.