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Finding the Fourth Proportional to 306,227.76, 422,596.92 and 198,838.32

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Solution

The fourth proportional to 306,227.76, 422,596.92 and 198,838.32 is: 274,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,227.76 : 422,596.92 = 198,838.32 : x
  2. Step 2: Convert to fraction form
    306,227.76/422,596.92 = 198,838.32/x
  3. Step 3: Cross multiply
    306,227.76x = 422,596.92 × 198,838.32
  4. Step 4: Simplify right side
    306,227.76x = 84,028,461,609.97
  5. Step 5: Solve for x
    x = 84,028,461,609.97/306,227.76
  6. Step 6: Final answer
    x = 274,398.58

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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.