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Finding the Fourth Proportional to 221,408.60, 332,112.90 and 209,161.40

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Solution

The fourth proportional to 221,408.60, 332,112.90 and 209,161.40 is: 313,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408.60 : 332,112.90 = 209,161.40 : x
  2. Step 2: Convert to fraction form
    221,408.60/332,112.90 = 209,161.40/x
  3. Step 3: Cross multiply
    221,408.60x = 332,112.90 × 209,161.40
  4. Step 4: Simplify right side
    221,408.60x = 69,465,199,122.06
  5. Step 5: Solve for x
    x = 69,465,199,122.06/221,408.60
  6. Step 6: Final answer
    x = 313,742.10

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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.