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Finding the Fourth Proportional to 271,878.40, 407,817.60 and 205,523.20

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Solution

The fourth proportional to 271,878.40, 407,817.60 and 205,523.20 is: 308,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,878.40 : 407,817.60 = 205,523.20 : x
  2. Step 2: Convert to fraction form
    271,878.40/407,817.60 = 205,523.20/x
  3. Step 3: Cross multiply
    271,878.40x = 407,817.60 × 205,523.20
  4. Step 4: Simplify right side
    271,878.40x = 83,815,978,168.32
  5. Step 5: Solve for x
    x = 83,815,978,168.32/271,878.40
  6. Step 6: Final answer
    x = 308,284.80

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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.