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Finding the Fourth Proportional to 399,494.10, 599,243.38 and 133,253.88

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Solution

The fourth proportional to 399,494.10, 599,243.38 and 133,253.88 is: 199,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,494.10 : 599,243.38 = 133,253.88 : x
  2. Step 2: Convert to fraction form
    399,494.10/599,243.38 = 133,253.88/x
  3. Step 3: Cross multiply
    399,494.10x = 599,243.38 × 133,253.88
  4. Step 4: Simplify right side
    399,494.10x = 79,851,505,449.31
  5. Step 5: Solve for x
    x = 79,851,505,449.31/399,494.10
  6. Step 6: Final answer
    x = 199,881.56

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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.