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Finding the Fourth Proportional to 494,347.49, 682,193.40 and 290,417

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Solution

The fourth proportional to 494,347.49, 682,193.40 and 290,417 is: 400,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,347.49 : 682,193.40 = 290,417 : x
  2. Step 2: Convert to fraction form
    494,347.49/682,193.40 = 290,417/x
  3. Step 3: Cross multiply
    494,347.49x = 682,193.40 × 290,417
  4. Step 4: Simplify right side
    494,347.49x = 198,120,560,647.80
  5. Step 5: Solve for x
    x = 198,120,560,647.80/494,347.49
  6. Step 6: Final answer
    x = 400,771.86

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1.5x scale

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.