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Finding the Fourth Proportional to 328,229.34, 492,396.57 and 138,691.57

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Solution

The fourth proportional to 328,229.34, 492,396.57 and 138,691.57 is: 208,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229.34 : 492,396.57 = 138,691.57 : x
  2. Step 2: Convert to fraction form
    328,229.34/492,396.57 = 138,691.57/x
  3. Step 3: Cross multiply
    328,229.34x = 492,396.57 × 138,691.57
  4. Step 4: Simplify right side
    328,229.34x = 68,291,253,702.64
  5. Step 5: Solve for x
    x = 68,291,253,702.64/328,229.34
  6. Step 6: Final answer
    x = 208,059.56

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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.