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Finding the Fourth Proportional to 512,558.20, 768,837.30 and 212,939.20

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Solution

The fourth proportional to 512,558.20, 768,837.30 and 212,939.20 is: 319,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,558.20 : 768,837.30 = 212,939.20 : x
  2. Step 2: Convert to fraction form
    512,558.20/768,837.30 = 212,939.20/x
  3. Step 3: Cross multiply
    512,558.20x = 768,837.30 × 212,939.20
  4. Step 4: Simplify right side
    512,558.20x = 163,715,599,592.16
  5. Step 5: Solve for x
    x = 163,715,599,592.16/512,558.20
  6. Step 6: Final answer
    x = 319,408.80

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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.