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Finding the Fourth Proportional to 307,397, 460,845.21 and 206,299.28

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Solution

The fourth proportional to 307,397, 460,845.21 and 206,299.28 is: 309,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,397 : 460,845.21 = 206,299.28 : x
  2. Step 2: Convert to fraction form
    307,397/460,845.21 = 206,299.28/x
  3. Step 3: Cross multiply
    307,397x = 460,845.21 × 206,299.28
  4. Step 4: Simplify right side
    307,397x = 95,072,035,014.45
  5. Step 5: Solve for x
    x = 95,072,035,014.45/307,397
  6. Step 6: Final answer
    x = 309,280.95

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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.