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Finding the Fourth Proportional to 407,983.50, 611,997.12 and 127,522.62

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Solution

The fourth proportional to 407,983.50, 611,997.12 and 127,522.62 is: 191,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,983.50 : 611,997.12 = 127,522.62 : x
  2. Step 2: Convert to fraction form
    407,983.50/611,997.12 = 127,522.62/x
  3. Step 3: Cross multiply
    407,983.50x = 611,997.12 × 127,522.62
  4. Step 4: Simplify right side
    407,983.50x = 78,043,476,174.85
  5. Step 5: Solve for x
    x = 78,043,476,174.85/407,983.50
  6. Step 6: Final answer
    x = 191,290.77

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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.