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Finding the Fourth Proportional to 512,672.10, 769,142.55 and 197,139.30

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Solution

The fourth proportional to 512,672.10, 769,142.55 and 197,139.30 is: 295,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,672.10 : 769,142.55 = 197,139.30 : x
  2. Step 2: Convert to fraction form
    512,672.10/769,142.55 = 197,139.30/x
  3. Step 3: Cross multiply
    512,672.10x = 769,142.55 × 197,139.30
  4. Step 4: Simplify right side
    512,672.10x = 151,628,223,907.22
  5. Step 5: Solve for x
    x = 151,628,223,907.22/512,672.10
  6. Step 6: Final answer
    x = 295,760.63

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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.