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Finding the Fourth Proportional to 386,970.44, 580,621.98 and 200,113.16

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Solution

The fourth proportional to 386,970.44, 580,621.98 and 200,113.16 is: 300,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970.44 : 580,621.98 = 200,113.16 : x
  2. Step 2: Convert to fraction form
    386,970.44/580,621.98 = 200,113.16/x
  3. Step 3: Cross multiply
    386,970.44x = 580,621.98 × 200,113.16
  4. Step 4: Simplify right side
    386,970.44x = 116,190,099,183.26
  5. Step 5: Solve for x
    x = 116,190,099,183.26/386,970.44
  6. Step 6: Final answer
    x = 300,255.75

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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.