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Finding the Fourth Proportional to 640,837.40, 961,310.78 and 167,522

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Solution

The fourth proportional to 640,837.40, 961,310.78 and 167,522 is: 251,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,837.40 : 961,310.78 = 167,522 : x
  2. Step 2: Convert to fraction form
    640,837.40/961,310.78 = 167,522/x
  3. Step 3: Cross multiply
    640,837.40x = 961,310.78 × 167,522
  4. Step 4: Simplify right side
    640,837.40x = 161,040,704,487.16
  5. Step 5: Solve for x
    x = 161,040,704,487.16/640,837.40
  6. Step 6: Final answer
    x = 251,297.29

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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.