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Finding the Fourth Proportional to 351,580.36, 485,267.70 and 200,764.84

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Solution

The fourth proportional to 351,580.36, 485,267.70 and 200,764.84 is: 277,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,580.36 : 485,267.70 = 200,764.84 : x
  2. Step 2: Convert to fraction form
    351,580.36/485,267.70 = 200,764.84/x
  3. Step 3: Cross multiply
    351,580.36x = 485,267.70 × 200,764.84
  4. Step 4: Simplify right side
    351,580.36x = 97,424,692,147.67
  5. Step 5: Solve for x
    x = 97,424,692,147.67/351,580.36
  6. Step 6: Final answer
    x = 277,105.05

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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.