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Finding the Fourth Proportional to 378,909.75, 522,895.50 and 209,143.92

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Solution

The fourth proportional to 378,909.75, 522,895.50 and 209,143.92 is: 288,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,909.75 : 522,895.50 = 209,143.92 : x
  2. Step 2: Convert to fraction form
    378,909.75/522,895.50 = 209,143.92/x
  3. Step 3: Cross multiply
    378,909.75x = 522,895.50 × 209,143.92
  4. Step 4: Simplify right side
    378,909.75x = 109,360,414,620.36
  5. Step 5: Solve for x
    x = 109,360,414,620.36/378,909.75
  6. Step 6: Final answer
    x = 288,618.63

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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.