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Finding the Fourth Proportional to 306,106.56, 422,361.54 and 178,724.34

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Solution

The fourth proportional to 306,106.56, 422,361.54 and 178,724.34 is: 246,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,106.56 : 422,361.54 = 178,724.34 : x
  2. Step 2: Convert to fraction form
    306,106.56/422,361.54 = 178,724.34/x
  3. Step 3: Cross multiply
    306,106.56x = 422,361.54 × 178,724.34
  4. Step 4: Simplify right side
    306,106.56x = 75,486,287,477.88
  5. Step 5: Solve for x
    x = 75,486,287,477.88/306,106.56
  6. Step 6: Final answer
    x = 246,601.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.