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Finding the Fourth Proportional to 512,546.82, 768,881.75 and 213,229.91

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Solution

The fourth proportional to 512,546.82, 768,881.75 and 213,229.91 is: 319,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,546.82 : 768,881.75 = 213,229.91 : x
  2. Step 2: Convert to fraction form
    512,546.82/768,881.75 = 213,229.91/x
  3. Step 3: Cross multiply
    512,546.82x = 768,881.75 × 213,229.91
  4. Step 4: Simplify right side
    512,546.82x = 163,948,581,442.58
  5. Step 5: Solve for x
    x = 163,948,581,442.58/512,546.82
  6. Step 6: Final answer
    x = 319,870.45

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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.