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Finding the Fourth Proportional to 646,089, 969,172.40 and 202,857

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Solution

The fourth proportional to 646,089, 969,172.40 and 202,857 is: 304,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,089 : 969,172.40 = 202,857 : x
  2. Step 2: Convert to fraction form
    646,089/969,172.40 = 202,857/x
  3. Step 3: Cross multiply
    646,089x = 969,172.40 × 202,857
  4. Step 4: Simplify right side
    646,089x = 196,603,405,546.80
  5. Step 5: Solve for x
    x = 196,603,405,546.80/646,089
  6. Step 6: Final answer
    x = 304,297.71

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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.