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Finding the Fourth Proportional to 305,591.83, 421,766.66 and 169,669.78

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Solution

The fourth proportional to 305,591.83, 421,766.66 and 169,669.78 is: 234,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,591.83 : 421,766.66 = 169,669.78 : x
  2. Step 2: Convert to fraction form
    305,591.83/421,766.66 = 169,669.78/x
  3. Step 3: Cross multiply
    305,591.83x = 421,766.66 × 169,669.78
  4. Step 4: Simplify right side
    305,591.83x = 71,561,055,783.29
  5. Step 5: Solve for x
    x = 71,561,055,783.29/305,591.83
  6. Step 6: Final answer
    x = 234,172.02

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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.