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Finding the Fourth Proportional to 199,408.40, 298,383.60 and 146,920.40

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Solution

The fourth proportional to 199,408.40, 298,383.60 and 146,920.40 is: 219,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,408.40 : 298,383.60 = 146,920.40 : x
  2. Step 2: Convert to fraction form
    199,408.40/298,383.60 = 146,920.40/x
  3. Step 3: Cross multiply
    199,408.40x = 298,383.60 × 146,920.40
  4. Step 4: Simplify right side
    199,408.40x = 43,838,637,865.44
  5. Step 5: Solve for x
    x = 43,838,637,865.44/199,408.40
  6. Step 6: Final answer
    x = 219,843.49

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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.