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Finding the Fourth Proportional to 271,759.23, 405,808.81 and 221,938.16

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Solution

The fourth proportional to 271,759.23, 405,808.81 and 221,938.16 is: 331,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,759.23 : 405,808.81 = 221,938.16 : x
  2. Step 2: Convert to fraction form
    271,759.23/405,808.81 = 221,938.16/x
  3. Step 3: Cross multiply
    271,759.23x = 405,808.81 × 221,938.16
  4. Step 4: Simplify right side
    271,759.23x = 90,064,458,019.30
  5. Step 5: Solve for x
    x = 90,064,458,019.30/271,759.23
  6. Step 6: Final answer
    x = 331,412.69

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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.