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Finding the Fourth Proportional to 271,202.10, 406,402.20 and 196,479.60

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Solution

The fourth proportional to 271,202.10, 406,402.20 and 196,479.60 is: 294,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,202.10 : 406,402.20 = 196,479.60 : x
  2. Step 2: Convert to fraction form
    271,202.10/406,402.20 = 196,479.60/x
  3. Step 3: Cross multiply
    271,202.10x = 406,402.20 × 196,479.60
  4. Step 4: Simplify right side
    271,202.10x = 79,849,741,695.12
  5. Step 5: Solve for x
    x = 79,849,741,695.12/271,202.10
  6. Step 6: Final answer
    x = 294,428.92

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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.