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Finding the Fourth Proportional to 227,218, 313,441.56 and 173,409.28

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Solution

The fourth proportional to 227,218, 313,441.56 and 173,409.28 is: 239,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,218 : 313,441.56 = 173,409.28 : x
  2. Step 2: Convert to fraction form
    227,218/313,441.56 = 173,409.28/x
  3. Step 3: Cross multiply
    227,218x = 313,441.56 × 173,409.28
  4. Step 4: Simplify right side
    227,218x = 54,353,675,241.68
  5. Step 5: Solve for x
    x = 54,353,675,241.68/227,218
  6. Step 6: Final answer
    x = 239,213.77

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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.