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Finding the Fourth Proportional to 561,251.78, 842,209.82 and 206,514.91

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Solution

The fourth proportional to 561,251.78, 842,209.82 and 206,514.91 is: 309,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,251.78 : 842,209.82 = 206,514.91 : x
  2. Step 2: Convert to fraction form
    561,251.78/842,209.82 = 206,514.91/x
  3. Step 3: Cross multiply
    561,251.78x = 842,209.82 × 206,514.91
  4. Step 4: Simplify right side
    561,251.78x = 173,928,885,973.04
  5. Step 5: Solve for x
    x = 173,928,885,973.04/561,251.78
  6. Step 6: Final answer
    x = 309,894.58

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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.