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Finding the Fourth Proportional to 412,694.54, 618,993.36 and 113,205.40

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Solution

The fourth proportional to 412,694.54, 618,993.36 and 113,205.40 is: 169,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,694.54 : 618,993.36 = 113,205.40 : x
  2. Step 2: Convert to fraction form
    412,694.54/618,993.36 = 113,205.40/x
  3. Step 3: Cross multiply
    412,694.54x = 618,993.36 × 113,205.40
  4. Step 4: Simplify right side
    412,694.54x = 70,073,390,916.14
  5. Step 5: Solve for x
    x = 70,073,390,916.14/412,694.54
  6. Step 6: Final answer
    x = 169,794.81

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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.