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Finding the Fourth Proportional to 315,676.67, 435,777.22 and 201,112.42

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Solution

The fourth proportional to 315,676.67, 435,777.22 and 201,112.42 is: 277,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,676.67 : 435,777.22 = 201,112.42 : x
  2. Step 2: Convert to fraction form
    315,676.67/435,777.22 = 201,112.42/x
  3. Step 3: Cross multiply
    315,676.67x = 435,777.22 × 201,112.42
  4. Step 4: Simplify right side
    315,676.67x = 87,640,210,142.84
  5. Step 5: Solve for x
    x = 87,640,210,142.84/315,676.67
  6. Step 6: Final answer
    x = 277,626.51

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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.