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Finding the Fourth Proportional to 412,225.20, 618,366.60 and 162,874.80

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Solution

The fourth proportional to 412,225.20, 618,366.60 and 162,874.80 is: 244,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,225.20 : 618,366.60 = 162,874.80 : x
  2. Step 2: Convert to fraction form
    412,225.20/618,366.60 = 162,874.80/x
  3. Step 3: Cross multiply
    412,225.20x = 618,366.60 × 162,874.80
  4. Step 4: Simplify right side
    412,225.20x = 100,716,336,301.68
  5. Step 5: Solve for x
    x = 100,716,336,301.68/412,225.20
  6. Step 6: Final answer
    x = 244,323.58

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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.