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Finding the Fourth Proportional to 271,424.70, 407,465.10 and 269,456.40

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Solution

The fourth proportional to 271,424.70, 407,465.10 and 269,456.40 is: 404,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,424.70 : 407,465.10 = 269,456.40 : x
  2. Step 2: Convert to fraction form
    271,424.70/407,465.10 = 269,456.40/x
  3. Step 3: Cross multiply
    271,424.70x = 407,465.10 × 269,456.40
  4. Step 4: Simplify right side
    271,424.70x = 109,794,078,971.64
  5. Step 5: Solve for x
    x = 109,794,078,971.64/271,424.70
  6. Step 6: Final answer
    x = 404,510.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.