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Finding the Fourth Proportional to 777,517.37, 1,072,978.96 and 433,375.15

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Solution

The fourth proportional to 777,517.37, 1,072,978.96 and 433,375.15 is: 598,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,517.37 : 1,072,978.96 = 433,375.15 : x
  2. Step 2: Convert to fraction form
    777,517.37/1,072,978.96 = 433,375.15/x
  3. Step 3: Cross multiply
    777,517.37x = 1,072,978.96 × 433,375.15
  4. Step 4: Simplify right side
    777,517.37x = 465,002,420,357.41
  5. Step 5: Solve for x
    x = 465,002,420,357.41/777,517.37
  6. Step 6: Final answer
    x = 598,060.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.