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Finding the Fourth Proportional to 538,706.34, 743,419.92 and 296,997.78

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Solution

The fourth proportional to 538,706.34, 743,419.92 and 296,997.78 is: 409,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,706.34 : 743,419.92 = 296,997.78 : x
  2. Step 2: Convert to fraction form
    538,706.34/743,419.92 = 296,997.78/x
  3. Step 3: Cross multiply
    538,706.34x = 743,419.92 × 296,997.78
  4. Step 4: Simplify right side
    538,706.34x = 220,794,065,847.78
  5. Step 5: Solve for x
    x = 220,794,065,847.78/538,706.34
  6. Step 6: Final answer
    x = 409,859.79

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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.