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Finding the Fourth Proportional to 546,842.72, 820,351.56 and 231,389.84

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Solution

The fourth proportional to 546,842.72, 820,351.56 and 231,389.84 is: 347,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,842.72 : 820,351.56 = 231,389.84 : x
  2. Step 2: Convert to fraction form
    546,842.72/820,351.56 = 231,389.84/x
  3. Step 3: Cross multiply
    546,842.72x = 820,351.56 × 231,389.84
  4. Step 4: Simplify right side
    546,842.72x = 189,821,016,212.15
  5. Step 5: Solve for x
    x = 189,821,016,212.15/546,842.72
  6. Step 6: Final answer
    x = 347,121.78

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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.