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Finding the Fourth Proportional to 329,893.60, 494,743.20 and 130,147.60

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Solution

The fourth proportional to 329,893.60, 494,743.20 and 130,147.60 is: 195,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,893.60 : 494,743.20 = 130,147.60 : x
  2. Step 2: Convert to fraction form
    329,893.60/494,743.20 = 130,147.60/x
  3. Step 3: Cross multiply
    329,893.60x = 494,743.20 × 130,147.60
  4. Step 4: Simplify right side
    329,893.60x = 64,389,640,096.32
  5. Step 5: Solve for x
    x = 64,389,640,096.32/329,893.60
  6. Step 6: Final answer
    x = 195,183.05

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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.