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Finding the Fourth Proportional to 456,474.20, 685,129.80 and 231,990.80

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Solution

The fourth proportional to 456,474.20, 685,129.80 and 231,990.80 is: 348,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,474.20 : 685,129.80 = 231,990.80 : x
  2. Step 2: Convert to fraction form
    456,474.20/685,129.80 = 231,990.80/x
  3. Step 3: Cross multiply
    456,474.20x = 685,129.80 × 231,990.80
  4. Step 4: Simplify right side
    456,474.20x = 158,943,810,405.84
  5. Step 5: Solve for x
    x = 158,943,810,405.84/456,474.20
  6. Step 6: Final answer
    x = 348,198.89

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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.