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Finding the Fourth Proportional to 305,612.78, 421,725.69 and 169,640.24

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Solution

The fourth proportional to 305,612.78, 421,725.69 and 169,640.24 is: 234,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,612.78 : 421,725.69 = 169,640.24 : x
  2. Step 2: Convert to fraction form
    305,612.78/421,725.69 = 169,640.24/x
  3. Step 3: Cross multiply
    305,612.78x = 421,725.69 × 169,640.24
  4. Step 4: Simplify right side
    305,612.78x = 71,541,645,157.14
  5. Step 5: Solve for x
    x = 71,541,645,157.14/305,612.78
  6. Step 6: Final answer
    x = 234,092.46

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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.