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Finding the Fourth Proportional to 231,842.89, 319,629.06 and 198,212.64

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Solution

The fourth proportional to 231,842.89, 319,629.06 and 198,212.64 is: 273,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,842.89 : 319,629.06 = 198,212.64 : x
  2. Step 2: Convert to fraction form
    231,842.89/319,629.06 = 198,212.64/x
  3. Step 3: Cross multiply
    231,842.89x = 319,629.06 × 198,212.64
  4. Step 4: Simplify right side
    231,842.89x = 63,354,519,803.32
  5. Step 5: Solve for x
    x = 63,354,519,803.32/231,842.89
  6. Step 6: Final answer
    x = 273,264.88

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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.