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Finding the Fourth Proportional to 378,978.27, 522,986.80 and 209,208.75

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Solution

The fourth proportional to 378,978.27, 522,986.80 and 209,208.75 is: 288,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,978.27 : 522,986.80 = 209,208.75 : x
  2. Step 2: Convert to fraction form
    378,978.27/522,986.80 = 209,208.75/x
  3. Step 3: Cross multiply
    378,978.27x = 522,986.80 × 209,208.75
  4. Step 4: Simplify right side
    378,978.27x = 109,413,414,694.50
  5. Step 5: Solve for x
    x = 109,413,414,694.50/378,978.27
  6. Step 6: Final answer
    x = 288,706.30

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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.