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Finding the Fourth Proportional to 357,991.25, 494,015.09 and 196,844.90

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Solution

The fourth proportional to 357,991.25, 494,015.09 and 196,844.90 is: 271,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,991.25 : 494,015.09 = 196,844.90 : x
  2. Step 2: Convert to fraction form
    357,991.25/494,015.09 = 196,844.90/x
  3. Step 3: Cross multiply
    357,991.25x = 494,015.09 × 196,844.90
  4. Step 4: Simplify right side
    357,991.25x = 97,244,347,535.24
  5. Step 5: Solve for x
    x = 97,244,347,535.24/357,991.25
  6. Step 6: Final answer
    x = 271,638.90

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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.