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Finding the Fourth Proportional to 271,071.28, 406,576.16 and 71,407.28

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Solution

The fourth proportional to 271,071.28, 406,576.16 and 71,407.28 is: 107,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,071.28 : 406,576.16 = 71,407.28 : x
  2. Step 2: Convert to fraction form
    271,071.28/406,576.16 = 71,407.28/x
  3. Step 3: Cross multiply
    271,071.28x = 406,576.16 × 71,407.28
  4. Step 4: Simplify right side
    271,071.28x = 29,032,497,698.44
  5. Step 5: Solve for x
    x = 29,032,497,698.44/271,071.28
  6. Step 6: Final answer
    x = 107,102.82

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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.