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Finding the Fourth Proportional to 427,249, 640,882.14 and 131,761

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Solution

The fourth proportional to 427,249, 640,882.14 and 131,761 is: 197,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,249 : 640,882.14 = 131,761 : x
  2. Step 2: Convert to fraction form
    427,249/640,882.14 = 131,761/x
  3. Step 3: Cross multiply
    427,249x = 640,882.14 × 131,761
  4. Step 4: Simplify right side
    427,249x = 84,443,271,648.54
  5. Step 5: Solve for x
    x = 84,443,271,648.54/427,249
  6. Step 6: Final answer
    x = 197,644.16

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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.