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Finding the Fourth Proportional to 345,880, 477,321.70 and 194,977

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Solution

The fourth proportional to 345,880, 477,321.70 and 194,977 is: 269,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,880 : 477,321.70 = 194,977 : x
  2. Step 2: Convert to fraction form
    345,880/477,321.70 = 194,977/x
  3. Step 3: Cross multiply
    345,880x = 477,321.70 × 194,977
  4. Step 4: Simplify right side
    345,880x = 93,066,753,100.90
  5. Step 5: Solve for x
    x = 93,066,753,100.90/345,880
  6. Step 6: Final answer
    x = 269,072.38

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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.