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Finding the Fourth Proportional to 305,757.73, 421,931.46 and 169,800.31

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Solution

The fourth proportional to 305,757.73, 421,931.46 and 169,800.31 is: 234,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,757.73 : 421,931.46 = 169,800.31 : x
  2. Step 2: Convert to fraction form
    305,757.73/421,931.46 = 169,800.31/x
  3. Step 3: Cross multiply
    305,757.73x = 421,931.46 × 169,800.31
  4. Step 4: Simplify right side
    305,757.73x = 71,644,092,706.75
  5. Step 5: Solve for x
    x = 71,644,092,706.75/305,757.73
  6. Step 6: Final answer
    x = 234,316.54

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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.