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Finding the Fourth Proportional to 378,990.63, 522,997.07 and 209,221.11

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Solution

The fourth proportional to 378,990.63, 522,997.07 and 209,221.11 is: 288,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,990.63 : 522,997.07 = 209,221.11 : x
  2. Step 2: Convert to fraction form
    378,990.63/522,997.07 = 209,221.11/x
  3. Step 3: Cross multiply
    378,990.63x = 522,997.07 × 209,221.11
  4. Step 4: Simplify right side
    378,990.63x = 109,422,026,466.04
  5. Step 5: Solve for x
    x = 109,422,026,466.04/378,990.63
  6. Step 6: Final answer
    x = 288,719.61

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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.