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Finding the Fourth Proportional to 271,967.80, 407,145.30 and 202,156.60

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Solution

The fourth proportional to 271,967.80, 407,145.30 and 202,156.60 is: 302,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,967.80 : 407,145.30 = 202,156.60 : x
  2. Step 2: Convert to fraction form
    271,967.80/407,145.30 = 202,156.60/x
  3. Step 3: Cross multiply
    271,967.80x = 407,145.30 × 202,156.60
  4. Step 4: Simplify right side
    271,967.80x = 82,307,109,553.98
  5. Step 5: Solve for x
    x = 82,307,109,553.98/271,967.80
  6. Step 6: Final answer
    x = 302,635.49

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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.