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Finding the Fourth Proportional to 271,918.20, 407,877.30 and 187,937.40

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Solution

The fourth proportional to 271,918.20, 407,877.30 and 187,937.40 is: 281,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918.20 : 407,877.30 = 187,937.40 : x
  2. Step 2: Convert to fraction form
    271,918.20/407,877.30 = 187,937.40/x
  3. Step 3: Cross multiply
    271,918.20x = 407,877.30 × 187,937.40
  4. Step 4: Simplify right side
    271,918.20x = 76,655,399,281.02
  5. Step 5: Solve for x
    x = 76,655,399,281.02/271,918.20
  6. Step 6: Final answer
    x = 281,906.10

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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.