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Finding the Fourth Proportional to 431,361.60, 647,042.40 and 274,286.40

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Solution

The fourth proportional to 431,361.60, 647,042.40 and 274,286.40 is: 411,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,361.60 : 647,042.40 = 274,286.40 : x
  2. Step 2: Convert to fraction form
    431,361.60/647,042.40 = 274,286.40/x
  3. Step 3: Cross multiply
    431,361.60x = 647,042.40 × 274,286.40
  4. Step 4: Simplify right side
    431,361.60x = 177,474,930,543.36
  5. Step 5: Solve for x
    x = 177,474,930,543.36/431,361.60
  6. Step 6: Final answer
    x = 411,429.60

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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.