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Finding the Fourth Proportional to 512,879.21, 768,631.13 and 399,164.33

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Solution

The fourth proportional to 512,879.21, 768,631.13 and 399,164.33 is: 598,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,879.21 : 768,631.13 = 399,164.33 : x
  2. Step 2: Convert to fraction form
    512,879.21/768,631.13 = 399,164.33/x
  3. Step 3: Cross multiply
    512,879.21x = 768,631.13 × 399,164.33
  4. Step 4: Simplify right side
    512,879.21x = 306,810,130,023.59
  5. Step 5: Solve for x
    x = 306,810,130,023.59/512,879.21
  6. Step 6: Final answer
    x = 598,211.28

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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.