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Finding the Fourth Proportional to 512,269, 768,464.86 and 157,236.52

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Solution

The fourth proportional to 512,269, 768,464.86 and 157,236.52 is: 235,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,269 : 768,464.86 = 157,236.52 : x
  2. Step 2: Convert to fraction form
    512,269/768,464.86 = 157,236.52/x
  3. Step 3: Cross multiply
    512,269x = 768,464.86 × 157,236.52
  4. Step 4: Simplify right side
    512,269x = 120,830,740,328.69
  5. Step 5: Solve for x
    x = 120,830,740,328.69/512,269
  6. Step 6: Final answer
    x = 235,873.61

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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.