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Finding the Fourth Proportional to 200,531, 300,596.34 and 100,385.48

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Solution

The fourth proportional to 200,531, 300,596.34 and 100,385.48 is: 150,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531 : 300,596.34 = 100,385.48 : x
  2. Step 2: Convert to fraction form
    200,531/300,596.34 = 100,385.48/x
  3. Step 3: Cross multiply
    200,531x = 300,596.34 × 100,385.48
  4. Step 4: Simplify right side
    200,531x = 30,175,507,877.14
  5. Step 5: Solve for x
    x = 30,175,507,877.14/200,531
  6. Step 6: Final answer
    x = 150,478.02

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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.