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Finding the Fourth Proportional to 305,754.30, 421,944.77 and 169,796.72

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Solution

The fourth proportional to 305,754.30, 421,944.77 and 169,796.72 is: 234,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,754.30 : 421,944.77 = 169,796.72 : x
  2. Step 2: Convert to fraction form
    305,754.30/421,944.77 = 169,796.72/x
  3. Step 3: Cross multiply
    305,754.30x = 421,944.77 × 169,796.72
  4. Step 4: Simplify right side
    305,754.30x = 71,644,835,008.45
  5. Step 5: Solve for x
    x = 71,644,835,008.45/305,754.30
  6. Step 6: Final answer
    x = 234,321.59

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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.