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Finding the Fourth Proportional to 551,909.46, 827,864.20 and 172,859.85

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Solution

The fourth proportional to 551,909.46, 827,864.20 and 172,859.85 is: 259,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,909.46 : 827,864.20 = 172,859.85 : x
  2. Step 2: Convert to fraction form
    551,909.46/827,864.20 = 172,859.85/x
  3. Step 3: Cross multiply
    551,909.46x = 827,864.20 × 172,859.85
  4. Step 4: Simplify right side
    551,909.46x = 143,104,481,648.45
  5. Step 5: Solve for x
    x = 143,104,481,648.45/551,909.46
  6. Step 6: Final answer
    x = 259,289.78

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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.