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Finding the Fourth Proportional to 427,309.56, 640,512.36 and 160,954.83

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Solution

The fourth proportional to 427,309.56, 640,512.36 and 160,954.83 is: 241,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,309.56 : 640,512.36 = 160,954.83 : x
  2. Step 2: Convert to fraction form
    427,309.56/640,512.36 = 160,954.83/x
  3. Step 3: Cross multiply
    427,309.56x = 640,512.36 × 160,954.83
  4. Step 4: Simplify right side
    427,309.56x = 103,093,558,016.70
  5. Step 5: Solve for x
    x = 103,093,558,016.70/427,309.56
  6. Step 6: Final answer
    x = 241,262.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.