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Finding the Fourth Proportional to 271,906.90, 407,860.35 and 205,551.70

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Solution

The fourth proportional to 271,906.90, 407,860.35 and 205,551.70 is: 308,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.90 : 407,860.35 = 205,551.70 : x
  2. Step 2: Convert to fraction form
    271,906.90/407,860.35 = 205,551.70/x
  3. Step 3: Cross multiply
    271,906.90x = 407,860.35 × 205,551.70
  4. Step 4: Simplify right side
    271,906.90x = 83,836,388,305.10
  5. Step 5: Solve for x
    x = 83,836,388,305.10/271,906.90
  6. Step 6: Final answer
    x = 308,327.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.