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Finding the Fourth Proportional to 494,504.77, 682,503.95 and 290,555.65

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Solution

The fourth proportional to 494,504.77, 682,503.95 and 290,555.65 is: 401,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,504.77 : 682,503.95 = 290,555.65 : x
  2. Step 2: Convert to fraction form
    494,504.77/682,503.95 = 290,555.65/x
  3. Step 3: Cross multiply
    494,504.77x = 682,503.95 × 290,555.65
  4. Step 4: Simplify right side
    494,504.77x = 198,305,375,407.30
  5. Step 5: Solve for x
    x = 198,305,375,407.30/494,504.77
  6. Step 6: Final answer
    x = 401,018.13

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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.