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Finding the Fourth Proportional to 305,680.44, 421,843.98 and 169,723.16

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Solution

The fourth proportional to 305,680.44, 421,843.98 and 169,723.16 is: 234,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680.44 : 421,843.98 = 169,723.16 : x
  2. Step 2: Convert to fraction form
    305,680.44/421,843.98 = 169,723.16/x
  3. Step 3: Cross multiply
    305,680.44x = 421,843.98 × 169,723.16
  4. Step 4: Simplify right side
    305,680.44x = 71,596,693,312.58
  5. Step 5: Solve for x
    x = 71,596,693,312.58/305,680.44
  6. Step 6: Final answer
    x = 234,220.72

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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.