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Finding the Fourth Proportional to 305,897.44, 422,205.90 and 169,978

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Solution

The fourth proportional to 305,897.44, 422,205.90 and 169,978 is: 234,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,897.44 : 422,205.90 = 169,978 : x
  2. Step 2: Convert to fraction form
    305,897.44/422,205.90 = 169,978/x
  3. Step 3: Cross multiply
    305,897.44x = 422,205.90 × 169,978
  4. Step 4: Simplify right side
    305,897.44x = 71,765,714,470.20
  5. Step 5: Solve for x
    x = 71,765,714,470.20/305,897.44
  6. Step 6: Final answer
    x = 234,607.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.