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Finding the Fourth Proportional to 209,517.96, 314,100.90 and 169,977

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Solution

The fourth proportional to 209,517.96, 314,100.90 and 169,977 is: 254,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,517.96 : 314,100.90 = 169,977 : x
  2. Step 2: Convert to fraction form
    209,517.96/314,100.90 = 169,977/x
  3. Step 3: Cross multiply
    209,517.96x = 314,100.90 × 169,977
  4. Step 4: Simplify right side
    209,517.96x = 53,389,928,679.30
  5. Step 5: Solve for x
    x = 53,389,928,679.30/209,517.96
  6. Step 6: Final answer
    x = 254,822.68

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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.