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Finding the Fourth Proportional to 465,983.75, 642,902.90 and 379,794.69

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Solution

The fourth proportional to 465,983.75, 642,902.90 and 379,794.69 is: 523,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.75 : 642,902.90 = 379,794.69 : x
  2. Step 2: Convert to fraction form
    465,983.75/642,902.90 = 379,794.69/x
  3. Step 3: Cross multiply
    465,983.75x = 642,902.90 × 379,794.69
  4. Step 4: Simplify right side
    465,983.75x = 244,171,105,706.63
  5. Step 5: Solve for x
    x = 244,171,105,706.63/465,983.75
  6. Step 6: Final answer
    x = 523,990.60

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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.