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Finding the Fourth Proportional to 207,093.60, 310,640.40 and 171,664.20

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Solution

The fourth proportional to 207,093.60, 310,640.40 and 171,664.20 is: 257,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,093.60 : 310,640.40 = 171,664.20 : x
  2. Step 2: Convert to fraction form
    207,093.60/310,640.40 = 171,664.20/x
  3. Step 3: Cross multiply
    207,093.60x = 310,640.40 × 171,664.20
  4. Step 4: Simplify right side
    207,093.60x = 53,325,835,753.68
  5. Step 5: Solve for x
    x = 53,325,835,753.68/207,093.60
  6. Step 6: Final answer
    x = 257,496.30

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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.