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Finding the Fourth Proportional to 414,942.90, 622,268.55 and 190,410.90

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Solution

The fourth proportional to 414,942.90, 622,268.55 and 190,410.90 is: 285,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,942.90 : 622,268.55 = 190,410.90 : x
  2. Step 2: Convert to fraction form
    414,942.90/622,268.55 = 190,410.90/x
  3. Step 3: Cross multiply
    414,942.90x = 622,268.55 × 190,410.90
  4. Step 4: Simplify right side
    414,942.90x = 118,486,714,647.20
  5. Step 5: Solve for x
    x = 118,486,714,647.20/414,942.90
  6. Step 6: Final answer
    x = 285,549.44

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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.