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Finding the Fourth Proportional to 378,764.84, 522,694.90 and 208,998.92

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Solution

The fourth proportional to 378,764.84, 522,694.90 and 208,998.92 is: 288,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,764.84 : 522,694.90 = 208,998.92 : x
  2. Step 2: Convert to fraction form
    378,764.84/522,694.90 = 208,998.92/x
  3. Step 3: Cross multiply
    378,764.84x = 522,694.90 × 208,998.92
  4. Step 4: Simplify right side
    378,764.84x = 109,242,669,589.51
  5. Step 5: Solve for x
    x = 109,242,669,589.51/378,764.84
  6. Step 6: Final answer
    x = 288,418.19

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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.