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Finding the Fourth Proportional to 494,393.94, 682,013.25 and 312,800.04

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Solution

The fourth proportional to 494,393.94, 682,013.25 and 312,800.04 is: 431,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,393.94 : 682,013.25 = 312,800.04 : x
  2. Step 2: Convert to fraction form
    494,393.94/682,013.25 = 312,800.04/x
  3. Step 3: Cross multiply
    494,393.94x = 682,013.25 × 312,800.04
  4. Step 4: Simplify right side
    494,393.94x = 213,333,771,880.53
  5. Step 5: Solve for x
    x = 213,333,771,880.53/494,393.94
  6. Step 6: Final answer
    x = 431,505.64

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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.