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Finding the Fourth Proportional to 273,149.40, 409,781.70 and 115,296.60

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Solution

The fourth proportional to 273,149.40, 409,781.70 and 115,296.60 is: 172,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,149.40 : 409,781.70 = 115,296.60 : x
  2. Step 2: Convert to fraction form
    273,149.40/409,781.70 = 115,296.60/x
  3. Step 3: Cross multiply
    273,149.40x = 409,781.70 × 115,296.60
  4. Step 4: Simplify right side
    273,149.40x = 47,246,436,752.22
  5. Step 5: Solve for x
    x = 47,246,436,752.22/273,149.40
  6. Step 6: Final answer
    x = 172,969.21

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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.