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Finding the Fourth Proportional to 397,095.30, 595,898.10 and 219,729.60

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Solution

The fourth proportional to 397,095.30, 595,898.10 and 219,729.60 is: 329,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,095.30 : 595,898.10 = 219,729.60 : x
  2. Step 2: Convert to fraction form
    397,095.30/595,898.10 = 219,729.60/x
  3. Step 3: Cross multiply
    397,095.30x = 595,898.10 × 219,729.60
  4. Step 4: Simplify right side
    397,095.30x = 130,936,451,153.76
  5. Step 5: Solve for x
    x = 130,936,451,153.76/397,095.30
  6. Step 6: Final answer
    x = 329,735.59

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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.