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Finding the Fourth Proportional to 378,990.54, 522,993.24 and 209,221.02

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Solution

The fourth proportional to 378,990.54, 522,993.24 and 209,221.02 is: 288,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,990.54 : 522,993.24 = 209,221.02 : x
  2. Step 2: Convert to fraction form
    378,990.54/522,993.24 = 209,221.02/x
  3. Step 3: Cross multiply
    378,990.54x = 522,993.24 × 209,221.02
  4. Step 4: Simplify right side
    378,990.54x = 109,421,179,125.91
  5. Step 5: Solve for x
    x = 109,421,179,125.91/378,990.54
  6. Step 6: Final answer
    x = 288,717.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.