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Finding the Fourth Proportional to 680,942, 939,706.50 and 379,142.48

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Solution

The fourth proportional to 680,942, 939,706.50 and 379,142.48 is: 523,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,942 : 939,706.50 = 379,142.48 : x
  2. Step 2: Convert to fraction form
    680,942/939,706.50 = 379,142.48/x
  3. Step 3: Cross multiply
    680,942x = 939,706.50 × 379,142.48
  4. Step 4: Simplify right side
    680,942x = 356,282,652,882.12
  5. Step 5: Solve for x
    x = 356,282,652,882.12/680,942
  6. Step 6: Final answer
    x = 523,220.26

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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.