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Finding the Fourth Proportional to 299,408.40, 449,112.60 and 141,944.40

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Solution

The fourth proportional to 299,408.40, 449,112.60 and 141,944.40 is: 212,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,408.40 : 449,112.60 = 141,944.40 : x
  2. Step 2: Convert to fraction form
    299,408.40/449,112.60 = 141,944.40/x
  3. Step 3: Cross multiply
    299,408.40x = 449,112.60 × 141,944.40
  4. Step 4: Simplify right side
    299,408.40x = 63,749,018,539.44
  5. Step 5: Solve for x
    x = 63,749,018,539.44/299,408.40
  6. Step 6: Final answer
    x = 212,916.60

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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.