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Finding the Fourth Proportional to 646,297.97, 969,592.32 and 197,064.25

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Solution

The fourth proportional to 646,297.97, 969,592.32 and 197,064.25 is: 295,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,297.97 : 969,592.32 = 197,064.25 : x
  2. Step 2: Convert to fraction form
    646,297.97/969,592.32 = 197,064.25/x
  3. Step 3: Cross multiply
    646,297.97x = 969,592.32 × 197,064.25
  4. Step 4: Simplify right side
    646,297.97x = 191,071,978,498.60
  5. Step 5: Solve for x
    x = 191,071,978,498.60/646,297.97
  6. Step 6: Final answer
    x = 295,640.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.