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Finding the Fourth Proportional to 685,772, 946,375.13 and 395,377.82

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Solution

The fourth proportional to 685,772, 946,375.13 and 395,377.82 is: 545,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,772 : 946,375.13 = 395,377.82 : x
  2. Step 2: Convert to fraction form
    685,772/946,375.13 = 395,377.82/x
  3. Step 3: Cross multiply
    685,772x = 946,375.13 × 395,377.82
  4. Step 4: Simplify right side
    685,772x = 374,175,735,801.62
  5. Step 5: Solve for x
    x = 374,175,735,801.62/685,772
  6. Step 6: Final answer
    x = 545,627.02

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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.