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Finding the Fourth Proportional to 494,735.40, 682,751.34 and 290,783.34

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Solution

The fourth proportional to 494,735.40, 682,751.34 and 290,783.34 is: 401,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,735.40 : 682,751.34 = 290,783.34 : x
  2. Step 2: Convert to fraction form
    494,735.40/682,751.34 = 290,783.34/x
  3. Step 3: Cross multiply
    494,735.40x = 682,751.34 × 290,783.34
  4. Step 4: Simplify right side
    494,735.40x = 198,532,715,034.68
  5. Step 5: Solve for x
    x = 198,532,715,034.68/494,735.40
  6. Step 6: Final answer
    x = 401,290.70

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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.