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Finding the Fourth Proportional to 271,816.23, 405,893.81 and 221,995.16

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Solution

The fourth proportional to 271,816.23, 405,893.81 and 221,995.16 is: 331,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,816.23 : 405,893.81 = 221,995.16 : x
  2. Step 2: Convert to fraction form
    271,816.23/405,893.81 = 221,995.16/x
  3. Step 3: Cross multiply
    271,816.23x = 405,893.81 × 221,995.16
  4. Step 4: Simplify right side
    271,816.23x = 90,106,458,154.51
  5. Step 5: Solve for x
    x = 90,106,458,154.51/271,816.23
  6. Step 6: Final answer
    x = 331,497.71

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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.