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Finding the Fourth Proportional to 512,367.80, 768,579.72 and 212,878.66

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Solution

The fourth proportional to 512,367.80, 768,579.72 and 212,878.66 is: 319,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,367.80 : 768,579.72 = 212,878.66 : x
  2. Step 2: Convert to fraction form
    512,367.80/768,579.72 = 212,878.66/x
  3. Step 3: Cross multiply
    512,367.80x = 768,579.72 × 212,878.66
  4. Step 4: Simplify right side
    512,367.80x = 163,614,220,896.78
  5. Step 5: Solve for x
    x = 163,614,220,896.78/512,367.80
  6. Step 6: Final answer
    x = 319,329.63

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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.