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Finding the Fourth Proportional to 378,951.43, 522,953.67 and 209,185.69

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Solution

The fourth proportional to 378,951.43, 522,953.67 and 209,185.69 is: 288,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,951.43 : 522,953.67 = 209,185.69 : x
  2. Step 2: Convert to fraction form
    378,951.43/522,953.67 = 209,185.69/x
  3. Step 3: Cross multiply
    378,951.43x = 522,953.67 × 209,185.69
  4. Step 4: Simplify right side
    378,951.43x = 109,394,424,296.98
  5. Step 5: Solve for x
    x = 109,394,424,296.98/378,951.43
  6. Step 6: Final answer
    x = 288,676.64

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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.