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Finding the Fourth Proportional to 414,009.36, 620,856.44 and 271,816.60

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Solution

The fourth proportional to 414,009.36, 620,856.44 and 271,816.60 is: 407,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.36 : 620,856.44 = 271,816.60 : x
  2. Step 2: Convert to fraction form
    414,009.36/620,856.44 = 271,816.60/x
  3. Step 3: Cross multiply
    414,009.36x = 620,856.44 × 271,816.60
  4. Step 4: Simplify right side
    414,009.36x = 168,759,086,608.90
  5. Step 5: Solve for x
    x = 168,759,086,608.90/414,009.36
  6. Step 6: Final answer
    x = 407,621.43

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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.