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Finding the Fourth Proportional to 378,772.88, 522,717.50 and 209,017.94

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Solution

The fourth proportional to 378,772.88, 522,717.50 and 209,017.94 is: 288,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,772.88 : 522,717.50 = 209,017.94 : x
  2. Step 2: Convert to fraction form
    378,772.88/522,717.50 = 209,017.94/x
  3. Step 3: Cross multiply
    378,772.88x = 522,717.50 × 209,017.94
  4. Step 4: Simplify right side
    378,772.88x = 109,257,332,960.91
  5. Step 5: Solve for x
    x = 109,257,332,960.91/378,772.88
  6. Step 6: Final answer
    x = 288,450.78

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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.