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Finding the Fourth Proportional to 561,879.82, 842,644.05 and 187,815.34

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Solution

The fourth proportional to 561,879.82, 842,644.05 and 187,815.34 is: 281,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,879.82 : 842,644.05 = 187,815.34 : x
  2. Step 2: Convert to fraction form
    561,879.82/842,644.05 = 187,815.34/x
  3. Step 3: Cross multiply
    561,879.82x = 842,644.05 × 187,815.34
  4. Step 4: Simplify right side
    561,879.82x = 158,261,478,749.73
  5. Step 5: Solve for x
    x = 158,261,478,749.73/561,879.82
  6. Step 6: Final answer
    x = 281,664.29

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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.