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Finding the Fourth Proportional to 323,986.49, 485,585.73 and 229,243.97

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Solution

The fourth proportional to 323,986.49, 485,585.73 and 229,243.97 is: 343,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,986.49 : 485,585.73 = 229,243.97 : x
  2. Step 2: Convert to fraction form
    323,986.49/485,585.73 = 229,243.97/x
  3. Step 3: Cross multiply
    323,986.49x = 485,585.73 × 229,243.97
  4. Step 4: Simplify right side
    323,986.49x = 111,317,600,520.55
  5. Step 5: Solve for x
    x = 111,317,600,520.55/323,986.49
  6. Step 6: Final answer
    x = 343,587.17

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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.