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Finding the Fourth Proportional to 512,650.28, 769,048.95 and 157,694.24

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Solution

The fourth proportional to 512,650.28, 769,048.95 and 157,694.24 is: 236,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,650.28 : 769,048.95 = 157,694.24 : x
  2. Step 2: Convert to fraction form
    512,650.28/769,048.95 = 157,694.24/x
  3. Step 3: Cross multiply
    512,650.28x = 769,048.95 × 157,694.24
  4. Step 4: Simplify right side
    512,650.28x = 121,274,585,847.80
  5. Step 5: Solve for x
    x = 121,274,585,847.80/512,650.28
  6. Step 6: Final answer
    x = 236,563.97

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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.