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Finding the Fourth Proportional to 412,310.79, 617,756.13 and 322,318.50

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Solution

The fourth proportional to 412,310.79, 617,756.13 and 322,318.50 is: 482,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,310.79 : 617,756.13 = 322,318.50 : x
  2. Step 2: Convert to fraction form
    412,310.79/617,756.13 = 322,318.50/x
  3. Step 3: Cross multiply
    412,310.79x = 617,756.13 × 322,318.50
  4. Step 4: Simplify right side
    412,310.79x = 199,114,229,187.41
  5. Step 5: Solve for x
    x = 199,114,229,187.41/412,310.79
  6. Step 6: Final answer
    x = 482,922.67

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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.