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Finding the Fourth Proportional to 305,691.01, 421,560.37 and 196,684.04

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Solution

The fourth proportional to 305,691.01, 421,560.37 and 196,684.04 is: 271,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,691.01 : 421,560.37 = 196,684.04 : x
  2. Step 2: Convert to fraction form
    305,691.01/421,560.37 = 196,684.04/x
  3. Step 3: Cross multiply
    305,691.01x = 421,560.37 × 196,684.04
  4. Step 4: Simplify right side
    305,691.01x = 82,914,197,237.69
  5. Step 5: Solve for x
    x = 82,914,197,237.69/305,691.01
  6. Step 6: Final answer
    x = 271,235.32

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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.