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Finding the Fourth Proportional to 327,408.40, 491,112.60 and 117,053.20

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Solution

The fourth proportional to 327,408.40, 491,112.60 and 117,053.20 is: 175,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,408.40 : 491,112.60 = 117,053.20 : x
  2. Step 2: Convert to fraction form
    327,408.40/491,112.60 = 117,053.20/x
  3. Step 3: Cross multiply
    327,408.40x = 491,112.60 × 117,053.20
  4. Step 4: Simplify right side
    327,408.40x = 57,486,301,390.32
  5. Step 5: Solve for x
    x = 57,486,301,390.32/327,408.40
  6. Step 6: Final answer
    x = 175,579.80

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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.