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Finding the Fourth Proportional to 378,344.66, 522,119.20 and 208,584.86

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Solution

The fourth proportional to 378,344.66, 522,119.20 and 208,584.86 is: 287,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,344.66 : 522,119.20 = 208,584.86 : x
  2. Step 2: Convert to fraction form
    378,344.66/522,119.20 = 208,584.86/x
  3. Step 3: Cross multiply
    378,344.66x = 522,119.20 × 208,584.86
  4. Step 4: Simplify right side
    378,344.66x = 108,906,160,235.31
  5. Step 5: Solve for x
    x = 108,906,160,235.31/378,344.66
  6. Step 6: Final answer
    x = 287,849.07

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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.