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Finding the Fourth Proportional to 378,972.52, 522,978.87 and 209,203

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Solution

The fourth proportional to 378,972.52, 522,978.87 and 209,203 is: 288,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,972.52 : 522,978.87 = 209,203 : x
  2. Step 2: Convert to fraction form
    378,972.52/522,978.87 = 209,203/x
  3. Step 3: Cross multiply
    378,972.52x = 522,978.87 × 209,203
  4. Step 4: Simplify right side
    378,972.52x = 109,408,748,540.61
  5. Step 5: Solve for x
    x = 109,408,748,540.61/378,972.52
  6. Step 6: Final answer
    x = 288,698.37

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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.