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Finding the Fourth Proportional to 303,838.26, 455,719.60 and 189,996

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Solution

The fourth proportional to 303,838.26, 455,719.60 and 189,996 is: 284,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,838.26 : 455,719.60 = 189,996 : x
  2. Step 2: Convert to fraction form
    303,838.26/455,719.60 = 189,996/x
  3. Step 3: Cross multiply
    303,838.26x = 455,719.60 × 189,996
  4. Step 4: Simplify right side
    303,838.26x = 86,584,901,121.60
  5. Step 5: Solve for x
    x = 86,584,901,121.60/303,838.26
  6. Step 6: Final answer
    x = 284,970.37

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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.