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Finding the Fourth Proportional to 271,334.80, 407,002.20 and 138,624.40

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Solution

The fourth proportional to 271,334.80, 407,002.20 and 138,624.40 is: 207,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,334.80 : 407,002.20 = 138,624.40 : x
  2. Step 2: Convert to fraction form
    271,334.80/407,002.20 = 138,624.40/x
  3. Step 3: Cross multiply
    271,334.80x = 407,002.20 × 138,624.40
  4. Step 4: Simplify right side
    271,334.80x = 56,420,435,773.68
  5. Step 5: Solve for x
    x = 56,420,435,773.68/271,334.80
  6. Step 6: Final answer
    x = 207,936.60

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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.