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Finding the Fourth Proportional to 306,498.75, 422,970.39 and 170,538.43

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Solution

The fourth proportional to 306,498.75, 422,970.39 and 170,538.43 is: 235,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,498.75 : 422,970.39 = 170,538.43 : x
  2. Step 2: Convert to fraction form
    306,498.75/422,970.39 = 170,538.43/x
  3. Step 3: Cross multiply
    306,498.75x = 422,970.39 × 170,538.43
  4. Step 4: Simplify right side
    306,498.75x = 72,132,705,982.73
  5. Step 5: Solve for x
    x = 72,132,705,982.73/306,498.75
  6. Step 6: Final answer
    x = 235,344.21

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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.