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Finding the Fourth Proportional to 399,747.93, 599,451.21 and 231,384.47

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Solution

The fourth proportional to 399,747.93, 599,451.21 and 231,384.47 is: 346,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,747.93 : 599,451.21 = 231,384.47 : x
  2. Step 2: Convert to fraction form
    399,747.93/599,451.21 = 231,384.47/x
  3. Step 3: Cross multiply
    399,747.93x = 599,451.21 × 231,384.47
  4. Step 4: Simplify right side
    399,747.93x = 138,703,701,893.36
  5. Step 5: Solve for x
    x = 138,703,701,893.36/399,747.93
  6. Step 6: Final answer
    x = 346,977.91

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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.