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Finding the Fourth Proportional to 290,954.46, 401,289.18 and 199,128.06

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Solution

The fourth proportional to 290,954.46, 401,289.18 and 199,128.06 is: 274,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,954.46 : 401,289.18 = 199,128.06 : x
  2. Step 2: Convert to fraction form
    290,954.46/401,289.18 = 199,128.06/x
  3. Step 3: Cross multiply
    290,954.46x = 401,289.18 × 199,128.06
  4. Step 4: Simplify right side
    290,954.46x = 79,907,935,912.39
  5. Step 5: Solve for x
    x = 79,907,935,912.39/290,954.46
  6. Step 6: Final answer
    x = 274,640.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.