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Finding the Fourth Proportional to 538,839, 743,629.14 and 297,172.98

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Solution

The fourth proportional to 538,839, 743,629.14 and 297,172.98 is: 410,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,839 : 743,629.14 = 297,172.98 : x
  2. Step 2: Convert to fraction form
    538,839/743,629.14 = 297,172.98/x
  3. Step 3: Cross multiply
    538,839x = 743,629.14 × 297,172.98
  4. Step 4: Simplify right side
    538,839x = 220,986,487,548.64
  5. Step 5: Solve for x
    x = 220,986,487,548.64/538,839
  6. Step 6: Final answer
    x = 410,115.99

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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.