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Finding the Fourth Proportional to 323,078.40, 484,617.60 and 204,883.20

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Solution

The fourth proportional to 323,078.40, 484,617.60 and 204,883.20 is: 307,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,078.40 : 484,617.60 = 204,883.20 : x
  2. Step 2: Convert to fraction form
    323,078.40/484,617.60 = 204,883.20/x
  3. Step 3: Cross multiply
    323,078.40x = 484,617.60 × 204,883.20
  4. Step 4: Simplify right side
    323,078.40x = 99,290,004,664.32
  5. Step 5: Solve for x
    x = 99,290,004,664.32/323,078.40
  6. Step 6: Final answer
    x = 307,324.80

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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.