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Finding the Fourth Proportional to 339,513.75, 509,381.10 and 161,997.75

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Solution

The fourth proportional to 339,513.75, 509,381.10 and 161,997.75 is: 243,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,513.75 : 509,381.10 = 161,997.75 : x
  2. Step 2: Convert to fraction form
    339,513.75/509,381.10 = 161,997.75/x
  3. Step 3: Cross multiply
    339,513.75x = 509,381.10 × 161,997.75
  4. Step 4: Simplify right side
    339,513.75x = 82,518,592,092.53
  5. Step 5: Solve for x
    x = 82,518,592,092.53/339,513.75
  6. Step 6: Final answer
    x = 243,049.34

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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.