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Finding the Fourth Proportional to 378,913.31, 522,900.42 and 209,147.48

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Solution

The fourth proportional to 378,913.31, 522,900.42 and 209,147.48 is: 288,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,913.31 : 522,900.42 = 209,147.48 : x
  2. Step 2: Convert to fraction form
    378,913.31/522,900.42 = 209,147.48/x
  3. Step 3: Cross multiply
    378,913.31x = 522,900.42 × 209,147.48
  4. Step 4: Simplify right side
    378,913.31x = 109,363,305,133.94
  5. Step 5: Solve for x
    x = 109,363,305,133.94/378,913.31
  6. Step 6: Final answer
    x = 288,623.55

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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.