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Finding the Fourth Proportional to 645,093.20, 967,524.60 and 408,011.60

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Solution

The fourth proportional to 645,093.20, 967,524.60 and 408,011.60 is: 611,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,093.20 : 967,524.60 = 408,011.60 : x
  2. Step 2: Convert to fraction form
    645,093.20/967,524.60 = 408,011.60/x
  3. Step 3: Cross multiply
    645,093.20x = 967,524.60 × 408,011.60
  4. Step 4: Simplify right side
    645,093.20x = 394,761,260,085.36
  5. Step 5: Solve for x
    x = 394,761,260,085.36/645,093.20
  6. Step 6: Final answer
    x = 611,944.54

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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.