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Finding the Fourth Proportional to 411,504.10, 616,821.94 and 221,912.87

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Solution

The fourth proportional to 411,504.10, 616,821.94 and 221,912.87 is: 332,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,504.10 : 616,821.94 = 221,912.87 : x
  2. Step 2: Convert to fraction form
    411,504.10/616,821.94 = 221,912.87/x
  3. Step 3: Cross multiply
    411,504.10x = 616,821.94 × 221,912.87
  4. Step 4: Simplify right side
    411,504.10x = 136,880,724,116.50
  5. Step 5: Solve for x
    x = 136,880,724,116.50/411,504.10
  6. Step 6: Final answer
    x = 332,635.14

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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.