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Finding the Fourth Proportional to 412,427.20, 617,863.20 and 212,065.60

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Solution

The fourth proportional to 412,427.20, 617,863.20 and 212,065.60 is: 317,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,427.20 : 617,863.20 = 212,065.60 : x
  2. Step 2: Convert to fraction form
    412,427.20/617,863.20 = 212,065.60/x
  3. Step 3: Cross multiply
    412,427.20x = 617,863.20 × 212,065.60
  4. Step 4: Simplify right side
    412,427.20x = 131,027,530,225.92
  5. Step 5: Solve for x
    x = 131,027,530,225.92/412,427.20
  6. Step 6: Final answer
    x = 317,698.57

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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.