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Finding the Fourth Proportional to 538,578.40, 743,204.38 and 296,847.66

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Solution

The fourth proportional to 538,578.40, 743,204.38 and 296,847.66 is: 409,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,578.40 : 743,204.38 = 296,847.66 : x
  2. Step 2: Convert to fraction form
    538,578.40/743,204.38 = 296,847.66/x
  3. Step 3: Cross multiply
    538,578.40x = 743,204.38 × 296,847.66
  4. Step 4: Simplify right side
    538,578.40x = 220,618,481,104.75
  5. Step 5: Solve for x
    x = 220,618,481,104.75/538,578.40
  6. Step 6: Final answer
    x = 409,631.13

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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.