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Finding the Fourth Proportional to 345,991.59, 477,480.21 and 200,786.18

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Solution

The fourth proportional to 345,991.59, 477,480.21 and 200,786.18 is: 277,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,991.59 : 477,480.21 = 200,786.18 : x
  2. Step 2: Convert to fraction form
    345,991.59/477,480.21 = 200,786.18/x
  3. Step 3: Cross multiply
    345,991.59x = 477,480.21 × 200,786.18
  4. Step 4: Simplify right side
    345,991.59x = 95,871,425,004.10
  5. Step 5: Solve for x
    x = 95,871,425,004.10/345,991.59
  6. Step 6: Final answer
    x = 277,091.78

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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.