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Finding the Fourth Proportional to 512,115.20, 768,403.20 and 179,929.60

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Solution

The fourth proportional to 512,115.20, 768,403.20 and 179,929.60 is: 269,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,115.20 : 768,403.20 = 179,929.60 : x
  2. Step 2: Convert to fraction form
    512,115.20/768,403.20 = 179,929.60/x
  3. Step 3: Cross multiply
    512,115.20x = 768,403.20 × 179,929.60
  4. Step 4: Simplify right side
    512,115.20x = 138,258,480,414.72
  5. Step 5: Solve for x
    x = 138,258,480,414.72/512,115.20
  6. Step 6: Final answer
    x = 269,975.35

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1.5x scale

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.