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Finding the Fourth Proportional to 204,908.20, 307,362.30 and 200,971.60

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Solution

The fourth proportional to 204,908.20, 307,362.30 and 200,971.60 is: 301,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.20 : 307,362.30 = 200,971.60 : x
  2. Step 2: Convert to fraction form
    204,908.20/307,362.30 = 200,971.60/x
  3. Step 3: Cross multiply
    204,908.20x = 307,362.30 × 200,971.60
  4. Step 4: Simplify right side
    204,908.20x = 61,771,093,210.68
  5. Step 5: Solve for x
    x = 61,771,093,210.68/204,908.20
  6. Step 6: Final answer
    x = 301,457.40

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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.