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Finding the Fourth Proportional to 331,662, 457,705.92 and 188,446.30

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Solution

The fourth proportional to 331,662, 457,705.92 and 188,446.30 is: 260,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,662 : 457,705.92 = 188,446.30 : x
  2. Step 2: Convert to fraction form
    331,662/457,705.92 = 188,446.30/x
  3. Step 3: Cross multiply
    331,662x = 457,705.92 × 188,446.30
  4. Step 4: Simplify right side
    331,662x = 86,252,987,112.10
  5. Step 5: Solve for x
    x = 86,252,987,112.10/331,662
  6. Step 6: Final answer
    x = 260,062.92

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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.