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Finding the Fourth Proportional to 220,822.44, 304,735 and 120,220.44

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Solution

The fourth proportional to 220,822.44, 304,735 and 120,220.44 is: 165,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,822.44 : 304,735 = 120,220.44 : x
  2. Step 2: Convert to fraction form
    220,822.44/304,735 = 120,220.44/x
  3. Step 3: Cross multiply
    220,822.44x = 304,735 × 120,220.44
  4. Step 4: Simplify right side
    220,822.44x = 36,635,375,783.40
  5. Step 5: Solve for x
    x = 36,635,375,783.40/220,822.44
  6. Step 6: Final answer
    x = 165,904.23

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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.