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Finding the Fourth Proportional to 412,064.20, 617,942.70 and 162,694.60

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Solution

The fourth proportional to 412,064.20, 617,942.70 and 162,694.60 is: 243,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,064.20 : 617,942.70 = 162,694.60 : x
  2. Step 2: Convert to fraction form
    412,064.20/617,942.70 = 162,694.60/x
  3. Step 3: Cross multiply
    412,064.20x = 617,942.70 × 162,694.60
  4. Step 4: Simplify right side
    412,064.20x = 100,535,940,399.42
  5. Step 5: Solve for x
    x = 100,535,940,399.42/412,064.20
  6. Step 6: Final answer
    x = 243,981.25

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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.