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Finding the Fourth Proportional to 494,623.88, 682,518.90 and 293,381

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Solution

The fourth proportional to 494,623.88, 682,518.90 and 293,381 is: 404,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,623.88 : 682,518.90 = 293,381 : x
  2. Step 2: Convert to fraction form
    494,623.88/682,518.90 = 293,381/x
  3. Step 3: Cross multiply
    494,623.88x = 682,518.90 × 293,381
  4. Step 4: Simplify right side
    494,623.88x = 200,238,077,400.90
  5. Step 5: Solve for x
    x = 200,238,077,400.90/494,623.88
  6. Step 6: Final answer
    x = 404,828.97

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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.