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Finding the Fourth Proportional to 349,709.56, 482,474.46 and 206,397.88

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Solution

The fourth proportional to 349,709.56, 482,474.46 and 206,397.88 is: 284,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,709.56 : 482,474.46 = 206,397.88 : x
  2. Step 2: Convert to fraction form
    349,709.56/482,474.46 = 206,397.88/x
  3. Step 3: Cross multiply
    349,709.56x = 482,474.46 × 206,397.88
  4. Step 4: Simplify right side
    349,709.56x = 99,581,705,698.14
  5. Step 5: Solve for x
    x = 99,581,705,698.14/349,709.56
  6. Step 6: Final answer
    x = 284,755.46

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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.