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Finding the Fourth Proportional to 412,103.60, 617,464.20 and 201,287.60

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Solution

The fourth proportional to 412,103.60, 617,464.20 and 201,287.60 is: 301,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,103.60 : 617,464.20 = 201,287.60 : x
  2. Step 2: Convert to fraction form
    412,103.60/617,464.20 = 201,287.60/x
  3. Step 3: Cross multiply
    412,103.60x = 617,464.20 × 201,287.60
  4. Step 4: Simplify right side
    412,103.60x = 124,287,886,903.92
  5. Step 5: Solve for x
    x = 124,287,886,903.92/412,103.60
  6. Step 6: Final answer
    x = 301,593.79

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1.5x scale

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.