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Finding the Fourth Proportional to 490,576.06, 735,721.92 and 190,989.85

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Solution

The fourth proportional to 490,576.06, 735,721.92 and 190,989.85 is: 286,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,576.06 : 735,721.92 = 190,989.85 : x
  2. Step 2: Convert to fraction form
    490,576.06/735,721.92 = 190,989.85/x
  3. Step 3: Cross multiply
    490,576.06x = 735,721.92 × 190,989.85
  4. Step 4: Simplify right side
    490,576.06x = 140,515,419,142.51
  5. Step 5: Solve for x
    x = 140,515,419,142.51/490,576.06
  6. Step 6: Final answer
    x = 286,429.43

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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.