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Finding the Fourth Proportional to 303,842.56, 419,307.12 and 167,879.65

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Solution

The fourth proportional to 303,842.56, 419,307.12 and 167,879.65 is: 231,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,842.56 : 419,307.12 = 167,879.65 : x
  2. Step 2: Convert to fraction form
    303,842.56/419,307.12 = 167,879.65/x
  3. Step 3: Cross multiply
    303,842.56x = 419,307.12 × 167,879.65
  4. Step 4: Simplify right side
    303,842.56x = 70,393,132,548.11
  5. Step 5: Solve for x
    x = 70,393,132,548.11/303,842.56
  6. Step 6: Final answer
    x = 231,676.34

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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.