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Finding the Fourth Proportional to 659,408.75, 989,083.37 and 274,999.28

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Solution

The fourth proportional to 659,408.75, 989,083.37 and 274,999.28 is: 412,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,408.75 : 989,083.37 = 274,999.28 : x
  2. Step 2: Convert to fraction form
    659,408.75/989,083.37 = 274,999.28/x
  3. Step 3: Cross multiply
    659,408.75x = 989,083.37 × 274,999.28
  4. Step 4: Simplify right side
    659,408.75x = 271,997,217,770.18
  5. Step 5: Solve for x
    x = 271,997,217,770.18/659,408.75
  6. Step 6: Final answer
    x = 412,486.52

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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.