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Finding the Fourth Proportional to 378,760.80, 522,689.31 and 208,994.79

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Solution

The fourth proportional to 378,760.80, 522,689.31 and 208,994.79 is: 288,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,760.80 : 522,689.31 = 208,994.79 : x
  2. Step 2: Convert to fraction form
    378,760.80/522,689.31 = 208,994.79/x
  3. Step 3: Cross multiply
    378,760.80x = 522,689.31 × 208,994.79
  4. Step 4: Simplify right side
    378,760.80x = 109,239,342,578.70
  5. Step 5: Solve for x
    x = 109,239,342,578.70/378,760.80
  6. Step 6: Final answer
    x = 288,412.48

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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.