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Finding the Fourth Proportional to 538,487.25, 743,079 and 296,756.31

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Solution

The fourth proportional to 538,487.25, 743,079 and 296,756.31 is: 409,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,487.25 : 743,079 = 296,756.31 : x
  2. Step 2: Convert to fraction form
    538,487.25/743,079 = 296,756.31/x
  3. Step 3: Cross multiply
    538,487.25x = 743,079 × 296,756.31
  4. Step 4: Simplify right side
    538,487.25x = 220,513,382,078.49
  5. Step 5: Solve for x
    x = 220,513,382,078.49/538,487.25
  6. Step 6: Final answer
    x = 409,505.30

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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.