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Finding the Fourth Proportional to 412,011.43, 618,246.78 and 222,467.79

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Solution

The fourth proportional to 412,011.43, 618,246.78 and 222,467.79 is: 333,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,011.43 : 618,246.78 = 222,467.79 : x
  2. Step 2: Convert to fraction form
    412,011.43/618,246.78 = 222,467.79/x
  3. Step 3: Cross multiply
    412,011.43x = 618,246.78 × 222,467.79
  4. Step 4: Simplify right side
    412,011.43x = 137,539,994,821.22
  5. Step 5: Solve for x
    x = 137,539,994,821.22/412,011.43
  6. Step 6: Final answer
    x = 333,825.68

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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.