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Finding the Fourth Proportional to 271,749.98, 405,795 and 221,928.90

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Solution

The fourth proportional to 271,749.98, 405,795 and 221,928.90 is: 331,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,749.98 : 405,795 = 221,928.90 : x
  2. Step 2: Convert to fraction form
    271,749.98/405,795 = 221,928.90/x
  3. Step 3: Cross multiply
    271,749.98x = 405,795 × 221,928.90
  4. Step 4: Simplify right side
    271,749.98x = 90,057,637,975.50
  5. Step 5: Solve for x
    x = 90,057,637,975.50/271,749.98
  6. Step 6: Final answer
    x = 331,398.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.