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Finding the Fourth Proportional to 512,131.95, 767,764.11 and 212,425.47

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Solution

The fourth proportional to 512,131.95, 767,764.11 and 212,425.47 is: 318,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,131.95 : 767,764.11 = 212,425.47 : x
  2. Step 2: Convert to fraction form
    512,131.95/767,764.11 = 212,425.47/x
  3. Step 3: Cross multiply
    512,131.95x = 767,764.11 × 212,425.47
  4. Step 4: Simplify right side
    512,131.95x = 163,092,651,915.88
  5. Step 5: Solve for x
    x = 163,092,651,915.88/512,131.95
  6. Step 6: Final answer
    x = 318,458.26

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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.