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Finding the Fourth Proportional to 512,320, 768,484.32 and 179,896

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Solution

The fourth proportional to 512,320, 768,484.32 and 179,896 is: 269,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,320 : 768,484.32 = 179,896 : x
  2. Step 2: Convert to fraction form
    512,320/768,484.32 = 179,896/x
  3. Step 3: Cross multiply
    512,320x = 768,484.32 × 179,896
  4. Step 4: Simplify right side
    512,320x = 138,247,255,230.72
  5. Step 5: Solve for x
    x = 138,247,255,230.72/512,320
  6. Step 6: Final answer
    x = 269,845.52

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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.