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Finding the Fourth Proportional to 512,719.20, 768,771.60 and 263,887.20

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Solution

The fourth proportional to 512,719.20, 768,771.60 and 263,887.20 is: 395,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,719.20 : 768,771.60 = 263,887.20 : x
  2. Step 2: Convert to fraction form
    512,719.20/768,771.60 = 263,887.20/x
  3. Step 3: Cross multiply
    512,719.20x = 768,771.60 × 263,887.20
  4. Step 4: Simplify right side
    512,719.20x = 202,868,984,963.52
  5. Step 5: Solve for x
    x = 202,868,984,963.52/512,719.20
  6. Step 6: Final answer
    x = 395,672.69

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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.