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Finding the Fourth Proportional to 378,758.54, 522,660.92 and 208,995.50

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Solution

The fourth proportional to 378,758.54, 522,660.92 and 208,995.50 is: 288,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,758.54 : 522,660.92 = 208,995.50 : x
  2. Step 2: Convert to fraction form
    378,758.54/522,660.92 = 208,995.50/x
  3. Step 3: Cross multiply
    378,758.54x = 522,660.92 × 208,995.50
  4. Step 4: Simplify right side
    378,758.54x = 109,233,780,305.86
  5. Step 5: Solve for x
    x = 109,233,780,305.86/378,758.54
  6. Step 6: Final answer
    x = 288,399.52

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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.