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Finding the Fourth Proportional to 271,421, 406,716.31 and 145,079.22

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Solution

The fourth proportional to 271,421, 406,716.31 and 145,079.22 is: 217,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,421 : 406,716.31 = 145,079.22 : x
  2. Step 2: Convert to fraction form
    271,421/406,716.31 = 145,079.22/x
  3. Step 3: Cross multiply
    271,421x = 406,716.31 × 145,079.22
  4. Step 4: Simplify right side
    271,421x = 59,006,085,016.08
  5. Step 5: Solve for x
    x = 59,006,085,016.08/271,421
  6. Step 6: Final answer
    x = 217,396.90

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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.