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Finding the Fourth Proportional to 399,747.68, 599,450.83 and 231,384.22

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Solution

The fourth proportional to 399,747.68, 599,450.83 and 231,384.22 is: 346,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,747.68 : 599,450.83 = 231,384.22 : x
  2. Step 2: Convert to fraction form
    399,747.68/599,450.83 = 231,384.22/x
  3. Step 3: Cross multiply
    399,747.68x = 599,450.83 × 231,384.22
  4. Step 4: Simplify right side
    399,747.68x = 138,703,458,573.73
  5. Step 5: Solve for x
    x = 138,703,458,573.73/399,747.68
  6. Step 6: Final answer
    x = 346,977.52

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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.