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Finding the Fourth Proportional to 397,104.80, 595,912.35 and 219,739.10

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Solution

The fourth proportional to 397,104.80, 595,912.35 and 219,739.10 is: 329,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,104.80 : 595,912.35 = 219,739.10 : x
  2. Step 2: Convert to fraction form
    397,104.80/595,912.35 = 219,739.10/x
  3. Step 3: Cross multiply
    397,104.80x = 595,912.35 × 219,739.10
  4. Step 4: Simplify right side
    397,104.80x = 130,945,243,467.89
  5. Step 5: Solve for x
    x = 130,945,243,467.89/397,104.80
  6. Step 6: Final answer
    x = 329,749.84

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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.