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Finding the Fourth Proportional to 271,905.80, 407,858.70 and 208,847.30

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Solution

The fourth proportional to 271,905.80, 407,858.70 and 208,847.30 is: 313,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,905.80 : 407,858.70 = 208,847.30 : x
  2. Step 2: Convert to fraction form
    271,905.80/407,858.70 = 208,847.30/x
  3. Step 3: Cross multiply
    271,905.80x = 407,858.70 × 208,847.30
  4. Step 4: Simplify right side
    271,905.80x = 85,180,188,276.51
  5. Step 5: Solve for x
    x = 85,180,188,276.51/271,905.80
  6. Step 6: Final answer
    x = 313,270.95

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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.