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Finding the Fourth Proportional to 645,469.76, 967,318.90 and 408,388.03

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Solution

The fourth proportional to 645,469.76, 967,318.90 and 408,388.03 is: 612,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,469.76 : 967,318.90 = 408,388.03 : x
  2. Step 2: Convert to fraction form
    645,469.76/967,318.90 = 408,388.03/x
  3. Step 3: Cross multiply
    645,469.76x = 967,318.90 × 408,388.03
  4. Step 4: Simplify right side
    645,469.76x = 395,041,457,662.09
  5. Step 5: Solve for x
    x = 395,041,457,662.09/645,469.76
  6. Step 6: Final answer
    x = 612,021.63

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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.