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Finding the Fourth Proportional to 561,879, 842,819.31 and 229,455

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Solution

The fourth proportional to 561,879, 842,819.31 and 229,455 is: 344,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,879 : 842,819.31 = 229,455 : x
  2. Step 2: Convert to fraction form
    561,879/842,819.31 = 229,455/x
  3. Step 3: Cross multiply
    561,879x = 842,819.31 × 229,455
  4. Step 4: Simplify right side
    561,879x = 193,389,104,776.05
  5. Step 5: Solve for x
    x = 193,389,104,776.05/561,879
  6. Step 6: Final answer
    x = 344,182.83

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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.