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Finding the Fourth Proportional to 459,450.09, 689,361.03 and 206,553.51

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Solution

The fourth proportional to 459,450.09, 689,361.03 and 206,553.51 is: 309,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,450.09 : 689,361.03 = 206,553.51 : x
  2. Step 2: Convert to fraction form
    459,450.09/689,361.03 = 206,553.51/x
  3. Step 3: Cross multiply
    459,450.09x = 689,361.03 × 206,553.51
  4. Step 4: Simplify right side
    459,450.09x = 142,389,940,403.72
  5. Step 5: Solve for x
    x = 142,389,940,403.72/459,450.09
  6. Step 6: Final answer
    x = 309,913.84

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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.