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Finding the Fourth Proportional to 397,101.30, 595,907.10 and 219,735.60

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Solution

The fourth proportional to 397,101.30, 595,907.10 and 219,735.60 is: 329,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,101.30 : 595,907.10 = 219,735.60 : x
  2. Step 2: Convert to fraction form
    397,101.30/595,907.10 = 219,735.60/x
  3. Step 3: Cross multiply
    397,101.30x = 595,907.10 × 219,735.60
  4. Step 4: Simplify right side
    397,101.30x = 130,942,004,162.76
  5. Step 5: Solve for x
    x = 130,942,004,162.76/397,101.30
  6. Step 6: Final answer
    x = 329,744.59

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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.