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Finding the Fourth Proportional to 412,112.72, 618,169.08 and 225,022.16

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Solution

The fourth proportional to 412,112.72, 618,169.08 and 225,022.16 is: 337,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,112.72 : 618,169.08 = 225,022.16 : x
  2. Step 2: Convert to fraction form
    412,112.72/618,169.08 = 225,022.16/x
  3. Step 3: Cross multiply
    412,112.72x = 618,169.08 × 225,022.16
  4. Step 4: Simplify right side
    412,112.72x = 139,101,741,626.81
  5. Step 5: Solve for x
    x = 139,101,741,626.81/412,112.72
  6. Step 6: Final answer
    x = 337,533.24

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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.