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Finding the Fourth Proportional to 379,616.44, 523,950.78 and 315,892.12

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Solution

The fourth proportional to 379,616.44, 523,950.78 and 315,892.12 is: 435,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,616.44 : 523,950.78 = 315,892.12 : x
  2. Step 2: Convert to fraction form
    379,616.44/523,950.78 = 315,892.12/x
  3. Step 3: Cross multiply
    379,616.44x = 523,950.78 × 315,892.12
  4. Step 4: Simplify right side
    379,616.44x = 165,511,922,669.85
  5. Step 5: Solve for x
    x = 165,511,922,669.85/379,616.44
  6. Step 6: Final answer
    x = 435,997.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.