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Finding the Fourth Proportional to 512,202.16, 768,305.06 and 157,216.21

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Solution

The fourth proportional to 512,202.16, 768,305.06 and 157,216.21 is: 235,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,202.16 : 768,305.06 = 157,216.21 : x
  2. Step 2: Convert to fraction form
    512,202.16/768,305.06 = 157,216.21/x
  3. Step 3: Cross multiply
    512,202.16x = 768,305.06 × 157,216.21
  4. Step 4: Simplify right side
    512,202.16x = 120,790,005,029.42
  5. Step 5: Solve for x
    x = 120,790,005,029.42/512,202.16
  6. Step 6: Final answer
    x = 235,824.87

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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.