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Finding the Fourth Proportional to 561,251.82, 842,209.86 and 206,514.94

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Solution

The fourth proportional to 561,251.82, 842,209.86 and 206,514.94 is: 309,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,251.82 : 842,209.86 = 206,514.94 : x
  2. Step 2: Convert to fraction form
    561,251.82/842,209.86 = 206,514.94/x
  3. Step 3: Cross multiply
    561,251.82x = 842,209.86 × 206,514.94
  4. Step 4: Simplify right side
    561,251.82x = 173,928,918,705.31
  5. Step 5: Solve for x
    x = 173,928,918,705.31/561,251.82
  6. Step 6: Final answer
    x = 309,894.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.