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Finding the Fourth Proportional to 340,586.28, 469,984.82 and 202,757.90

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Solution

The fourth proportional to 340,586.28, 469,984.82 and 202,757.90 is: 279,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,586.28 : 469,984.82 = 202,757.90 : x
  2. Step 2: Convert to fraction form
    340,586.28/469,984.82 = 202,757.90/x
  3. Step 3: Cross multiply
    340,586.28x = 469,984.82 × 202,757.90
  4. Step 4: Simplify right side
    340,586.28x = 95,293,131,771.36
  5. Step 5: Solve for x
    x = 95,293,131,771.36/340,586.28
  6. Step 6: Final answer
    x = 279,791.46

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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.