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Finding the Fourth Proportional to 306,495.22, 422,956.78 and 177,439.16

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Solution

The fourth proportional to 306,495.22, 422,956.78 and 177,439.16 is: 244,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495.22 : 422,956.78 = 177,439.16 : x
  2. Step 2: Convert to fraction form
    306,495.22/422,956.78 = 177,439.16/x
  3. Step 3: Cross multiply
    306,495.22x = 422,956.78 × 177,439.16
  4. Step 4: Simplify right side
    306,495.22x = 75,049,097,567.39
  5. Step 5: Solve for x
    x = 75,049,097,567.39/306,495.22
  6. Step 6: Final answer
    x = 244,862.21

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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.