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Finding the Fourth Proportional to 271,816.20, 407,724.30 and 247,321.80

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Solution

The fourth proportional to 271,816.20, 407,724.30 and 247,321.80 is: 370,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,816.20 : 407,724.30 = 247,321.80 : x
  2. Step 2: Convert to fraction form
    271,816.20/407,724.30 = 247,321.80/x
  3. Step 3: Cross multiply
    271,816.20x = 407,724.30 × 247,321.80
  4. Step 4: Simplify right side
    271,816.20x = 100,839,107,779.74
  5. Step 5: Solve for x
    x = 100,839,107,779.74/271,816.20
  6. Step 6: Final answer
    x = 370,982.70

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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.