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Finding the Fourth Proportional to 512,243.54, 768,479.52 and 157,293.44

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Solution

The fourth proportional to 512,243.54, 768,479.52 and 157,293.44 is: 235,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,243.54 : 768,479.52 = 157,293.44 : x
  2. Step 2: Convert to fraction form
    512,243.54/768,479.52 = 157,293.44/x
  3. Step 3: Cross multiply
    512,243.54x = 768,479.52 × 157,293.44
  4. Step 4: Simplify right side
    512,243.54x = 120,876,787,270.35
  5. Step 5: Solve for x
    x = 120,876,787,270.35/512,243.54
  6. Step 6: Final answer
    x = 235,975.23

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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.