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Finding the Fourth Proportional to 412,266.20, 618,399.30 and 202,314.20

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Solution

The fourth proportional to 412,266.20, 618,399.30 and 202,314.20 is: 303,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,266.20 : 618,399.30 = 202,314.20 : x
  2. Step 2: Convert to fraction form
    412,266.20/618,399.30 = 202,314.20/x
  3. Step 3: Cross multiply
    412,266.20x = 618,399.30 × 202,314.20
  4. Step 4: Simplify right side
    412,266.20x = 125,110,959,660.06
  5. Step 5: Solve for x
    x = 125,110,959,660.06/412,266.20
  6. Step 6: Final answer
    x = 303,471.30

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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.