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Finding the Fourth Proportional to 271,539.56, 407,607.30 and 215,738.36

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Solution

The fourth proportional to 271,539.56, 407,607.30 and 215,738.36 is: 323,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,539.56 : 407,607.30 = 215,738.36 : x
  2. Step 2: Convert to fraction form
    271,539.56/407,607.30 = 215,738.36/x
  3. Step 3: Cross multiply
    271,539.56x = 407,607.30 × 215,738.36
  4. Step 4: Simplify right side
    271,539.56x = 87,936,530,426.03
  5. Step 5: Solve for x
    x = 87,936,530,426.03/271,539.56
  6. Step 6: Final answer
    x = 323,844.27

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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.