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Finding the Fourth Proportional to 512,268, 768,463.36 and 157,235.52

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Solution

The fourth proportional to 512,268, 768,463.36 and 157,235.52 is: 235,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,268 : 768,463.36 = 157,235.52 : x
  2. Step 2: Convert to fraction form
    512,268/768,463.36 = 157,235.52/x
  3. Step 3: Cross multiply
    512,268x = 768,463.36 × 157,235.52
  4. Step 4: Simplify right side
    512,268x = 120,829,736,010.55
  5. Step 5: Solve for x
    x = 120,829,736,010.55/512,268
  6. Step 6: Final answer
    x = 235,872.11

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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.