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Finding the Fourth Proportional to 345,879.45, 477,241.07 and 209,984.94

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Solution

The fourth proportional to 345,879.45, 477,241.07 and 209,984.94 is: 289,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,879.45 : 477,241.07 = 209,984.94 : x
  2. Step 2: Convert to fraction form
    345,879.45/477,241.07 = 209,984.94/x
  3. Step 3: Cross multiply
    345,879.45x = 477,241.07 × 209,984.94
  4. Step 4: Simplify right side
    345,879.45x = 100,213,436,399.56
  5. Step 5: Solve for x
    x = 100,213,436,399.56/345,879.45
  6. Step 6: Final answer
    x = 289,735.16

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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.