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Finding the Fourth Proportional to 431,372.70, 647,059.05 and 271,940.40

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Solution

The fourth proportional to 431,372.70, 647,059.05 and 271,940.40 is: 407,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,372.70 : 647,059.05 = 271,940.40 : x
  2. Step 2: Convert to fraction form
    431,372.70/647,059.05 = 271,940.40/x
  3. Step 3: Cross multiply
    431,372.70x = 647,059.05 × 271,940.40
  4. Step 4: Simplify right side
    431,372.70x = 175,961,496,880.62
  5. Step 5: Solve for x
    x = 175,961,496,880.62/431,372.70
  6. Step 6: Final answer
    x = 407,910.60

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1.5x scale

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.