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Finding the Fourth Proportional to 271,648.83, 407,307.17 and 129,537.57

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Solution

The fourth proportional to 271,648.83, 407,307.17 and 129,537.57 is: 194,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,648.83 : 407,307.17 = 129,537.57 : x
  2. Step 2: Convert to fraction form
    271,648.83/407,307.17 = 129,537.57/x
  3. Step 3: Cross multiply
    271,648.83x = 407,307.17 × 129,537.57
  4. Step 4: Simplify right side
    271,648.83x = 52,761,579,379.42
  5. Step 5: Solve for x
    x = 52,761,579,379.42/271,648.83
  6. Step 6: Final answer
    x = 194,227.16

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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.