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Finding the Fourth Proportional to 494,187, 682,051.26 and 312,915.78

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Solution

The fourth proportional to 494,187, 682,051.26 and 312,915.78 is: 431,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,187 : 682,051.26 = 312,915.78 : x
  2. Step 2: Convert to fraction form
    494,187/682,051.26 = 312,915.78/x
  3. Step 3: Cross multiply
    494,187x = 682,051.26 × 312,915.78
  4. Step 4: Simplify right side
    494,187x = 213,424,602,022.88
  5. Step 5: Solve for x
    x = 213,424,602,022.88/494,187
  6. Step 6: Final answer
    x = 431,870.13

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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.