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Finding the Fourth Proportional to 206,458.37, 309,478.42 and 139,905.23

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Solution

The fourth proportional to 206,458.37, 309,478.42 and 139,905.23 is: 209,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458.37 : 309,478.42 = 139,905.23 : x
  2. Step 2: Convert to fraction form
    206,458.37/309,478.42 = 139,905.23/x
  3. Step 3: Cross multiply
    206,458.37x = 309,478.42 × 139,905.23
  4. Step 4: Simplify right side
    206,458.37x = 43,297,648,157.63
  5. Step 5: Solve for x
    x = 43,297,648,157.63/206,458.37
  6. Step 6: Final answer
    x = 209,716.12

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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.