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Finding the Fourth Proportional to 512,573.22, 768,571.80 and 212,852.16

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Solution

The fourth proportional to 512,573.22, 768,571.80 and 212,852.16 is: 319,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,573.22 : 768,571.80 = 212,852.16 : x
  2. Step 2: Convert to fraction form
    512,573.22/768,571.80 = 212,852.16/x
  3. Step 3: Cross multiply
    512,573.22x = 768,571.80 × 212,852.16
  4. Step 4: Simplify right side
    512,573.22x = 163,592,167,745.09
  5. Step 5: Solve for x
    x = 163,592,167,745.09/512,573.22
  6. Step 6: Final answer
    x = 319,158.63

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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.