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Finding the Fourth Proportional to 201,431.80, 302,147.70 and 188,990.20

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Solution

The fourth proportional to 201,431.80, 302,147.70 and 188,990.20 is: 283,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,431.80 : 302,147.70 = 188,990.20 : x
  2. Step 2: Convert to fraction form
    201,431.80/302,147.70 = 188,990.20/x
  3. Step 3: Cross multiply
    201,431.80x = 302,147.70 × 188,990.20
  4. Step 4: Simplify right side
    201,431.80x = 57,102,954,252.54
  5. Step 5: Solve for x
    x = 57,102,954,252.54/201,431.80
  6. Step 6: Final answer
    x = 283,485.30

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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.