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Finding the Fourth Proportional to 538,578.88, 743,243.79 and 296,870.71

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Solution

The fourth proportional to 538,578.88, 743,243.79 and 296,870.71 is: 409,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,578.88 : 743,243.79 = 296,870.71 : x
  2. Step 2: Convert to fraction form
    538,578.88/743,243.79 = 296,870.71/x
  3. Step 3: Cross multiply
    538,578.88x = 743,243.79 × 296,870.71
  4. Step 4: Simplify right side
    538,578.88x = 220,647,311,640.39
  5. Step 5: Solve for x
    x = 220,647,311,640.39/538,578.88
  6. Step 6: Final answer
    x = 409,684.30

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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.