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Finding the Fourth Proportional to 331,971.72, 497,702.34 and 171,876

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Solution

The fourth proportional to 331,971.72, 497,702.34 and 171,876 is: 257,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,971.72 : 497,702.34 = 171,876 : x
  2. Step 2: Convert to fraction form
    331,971.72/497,702.34 = 171,876/x
  3. Step 3: Cross multiply
    331,971.72x = 497,702.34 × 171,876
  4. Step 4: Simplify right side
    331,971.72x = 85,543,087,389.84
  5. Step 5: Solve for x
    x = 85,543,087,389.84/331,971.72
  6. Step 6: Final answer
    x = 257,681.85

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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.