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Finding the Fourth Proportional to 305,806.71, 422,018.48 and 167,991.44

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Solution

The fourth proportional to 305,806.71, 422,018.48 and 167,991.44 is: 231,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,806.71 : 422,018.48 = 167,991.44 : x
  2. Step 2: Convert to fraction form
    305,806.71/422,018.48 = 167,991.44/x
  3. Step 3: Cross multiply
    305,806.71x = 422,018.48 × 167,991.44
  4. Step 4: Simplify right side
    305,806.71x = 70,895,493,560.00
  5. Step 5: Solve for x
    x = 70,895,493,560.00/305,806.71
  6. Step 6: Final answer
    x = 231,831.06

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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.