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Finding the Fourth Proportional to 378,873.27, 568,384.83 and 138,989.43

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Solution

The fourth proportional to 378,873.27, 568,384.83 and 138,989.43 is: 208,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,873.27 : 568,384.83 = 138,989.43 : x
  2. Step 2: Convert to fraction form
    378,873.27/568,384.83 = 138,989.43/x
  3. Step 3: Cross multiply
    378,873.27x = 568,384.83 × 138,989.43
  4. Step 4: Simplify right side
    378,873.27x = 78,999,483,542.35
  5. Step 5: Solve for x
    x = 78,999,483,542.35/378,873.27
  6. Step 6: Final answer
    x = 208,511.63

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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.