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Finding the Fourth Proportional to 305,754.16, 421,921.92 and 169,779.84

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Solution

The fourth proportional to 305,754.16, 421,921.92 and 169,779.84 is: 234,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,754.16 : 421,921.92 = 169,779.84 : x
  2. Step 2: Convert to fraction form
    305,754.16/421,921.92 = 169,779.84/x
  3. Step 3: Cross multiply
    305,754.16x = 421,921.92 × 169,779.84
  4. Step 4: Simplify right side
    305,754.16x = 71,633,836,070.09
  5. Step 5: Solve for x
    x = 71,633,836,070.09/305,754.16
  6. Step 6: Final answer
    x = 234,285.73

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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.