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Finding the Fourth Proportional to 378,959.76, 522,964.56 and 209,194

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Solution

The fourth proportional to 378,959.76, 522,964.56 and 209,194 is: 288,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,959.76 : 522,964.56 = 209,194 : x
  2. Step 2: Convert to fraction form
    378,959.76/522,964.56 = 209,194/x
  3. Step 3: Cross multiply
    378,959.76x = 522,964.56 × 209,194
  4. Step 4: Simplify right side
    378,959.76x = 109,401,048,164.64
  5. Step 5: Solve for x
    x = 109,401,048,164.64/378,959.76
  6. Step 6: Final answer
    x = 288,687.77

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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.