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Finding the Fourth Proportional to 275,692.40, 413,538.60 and 109,480.40

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Solution

The fourth proportional to 275,692.40, 413,538.60 and 109,480.40 is: 164,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692.40 : 413,538.60 = 109,480.40 : x
  2. Step 2: Convert to fraction form
    275,692.40/413,538.60 = 109,480.40/x
  3. Step 3: Cross multiply
    275,692.40x = 413,538.60 × 109,480.40
  4. Step 4: Simplify right side
    275,692.40x = 45,274,371,343.44
  5. Step 5: Solve for x
    x = 45,274,371,343.44/275,692.40
  6. Step 6: Final answer
    x = 164,220.60

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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.