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Finding the Fourth Proportional to 512,127.45, 767,757.38 and 212,420.97

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Solution

The fourth proportional to 512,127.45, 767,757.38 and 212,420.97 is: 318,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,127.45 : 767,757.38 = 212,420.97 : x
  2. Step 2: Convert to fraction form
    512,127.45/767,757.38 = 212,420.97/x
  3. Step 3: Cross multiply
    512,127.45x = 767,757.38 × 212,420.97
  4. Step 4: Simplify right side
    512,127.45x = 163,087,766,322.15
  5. Step 5: Solve for x
    x = 163,087,766,322.15/512,127.45
  6. Step 6: Final answer
    x = 318,451.52

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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.