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Finding the Fourth Proportional to 427,016.10, 640,524.15 and 269,940.90

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Solution

The fourth proportional to 427,016.10, 640,524.15 and 269,940.90 is: 404,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,016.10 : 640,524.15 = 269,940.90 : x
  2. Step 2: Convert to fraction form
    427,016.10/640,524.15 = 269,940.90/x
  3. Step 3: Cross multiply
    427,016.10x = 640,524.15 × 269,940.90
  4. Step 4: Simplify right side
    427,016.10x = 172,903,665,522.74
  5. Step 5: Solve for x
    x = 172,903,665,522.74/427,016.10
  6. Step 6: Final answer
    x = 404,911.35

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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.