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Finding the Fourth Proportional to 271,807.82, 407,531.77 and 129,675.03

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Solution

The fourth proportional to 271,807.82, 407,531.77 and 129,675.03 is: 194,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.82 : 407,531.77 = 129,675.03 : x
  2. Step 2: Convert to fraction form
    271,807.82/407,531.77 = 129,675.03/x
  3. Step 3: Cross multiply
    271,807.82x = 407,531.77 × 129,675.03
  4. Step 4: Simplify right side
    271,807.82x = 52,846,693,377.69
  5. Step 5: Solve for x
    x = 52,846,693,377.69/271,807.82
  6. Step 6: Final answer
    x = 194,426.69

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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.