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Finding the Fourth Proportional to 342,046.80, 512,195.40 and 252,817.20

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Solution

The fourth proportional to 342,046.80, 512,195.40 and 252,817.20 is: 378,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,046.80 : 512,195.40 = 252,817.20 : x
  2. Step 2: Convert to fraction form
    342,046.80/512,195.40 = 252,817.20/x
  3. Step 3: Cross multiply
    342,046.80x = 512,195.40 × 252,817.20
  4. Step 4: Simplify right side
    342,046.80x = 129,491,806,880.88
  5. Step 5: Solve for x
    x = 129,491,806,880.88/342,046.80
  6. Step 6: Final answer
    x = 378,579.21

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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.