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Finding the Fourth Proportional to 412,310.29, 617,755.38 and 322,318

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Solution

The fourth proportional to 412,310.29, 617,755.38 and 322,318 is: 482,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,310.29 : 617,755.38 = 322,318 : x
  2. Step 2: Convert to fraction form
    412,310.29/617,755.38 = 322,318/x
  3. Step 3: Cross multiply
    412,310.29x = 617,755.38 × 322,318
  4. Step 4: Simplify right side
    412,310.29x = 199,113,678,570.84
  5. Step 5: Solve for x
    x = 199,113,678,570.84/412,310.29
  6. Step 6: Final answer
    x = 482,921.92

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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.