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Finding the Fourth Proportional to 512,365.80, 768,576.73 and 212,876.66

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Solution

The fourth proportional to 512,365.80, 768,576.73 and 212,876.66 is: 319,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,365.80 : 768,576.73 = 212,876.66 : x
  2. Step 2: Convert to fraction form
    512,365.80/768,576.73 = 212,876.66/x
  3. Step 3: Cross multiply
    512,365.80x = 768,576.73 × 212,876.66
  4. Step 4: Simplify right side
    512,365.80x = 163,612,044,102.56
  5. Step 5: Solve for x
    x = 163,612,044,102.56/512,365.80
  6. Step 6: Final answer
    x = 319,326.63

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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.