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Finding the Fourth Proportional to 378,391.05, 522,178.79 and 208,628.01

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Solution

The fourth proportional to 378,391.05, 522,178.79 and 208,628.01 is: 287,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.05 : 522,178.79 = 208,628.01 : x
  2. Step 2: Convert to fraction form
    378,391.05/522,178.79 = 208,628.01/x
  3. Step 3: Cross multiply
    378,391.05x = 522,178.79 × 208,628.01
  4. Step 4: Simplify right side
    378,391.05x = 108,941,120,778.77
  5. Step 5: Solve for x
    x = 108,941,120,778.77/378,391.05
  6. Step 6: Final answer
    x = 287,906.18

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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.