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Finding the Fourth Proportional to 269,401.40, 403,956.30 and 111,645.80

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Solution

The fourth proportional to 269,401.40, 403,956.30 and 111,645.80 is: 167,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,401.40 : 403,956.30 = 111,645.80 : x
  2. Step 2: Convert to fraction form
    269,401.40/403,956.30 = 111,645.80/x
  3. Step 3: Cross multiply
    269,401.40x = 403,956.30 × 111,645.80
  4. Step 4: Simplify right side
    269,401.40x = 45,100,024,278.54
  5. Step 5: Solve for x
    x = 45,100,024,278.54/269,401.40
  6. Step 6: Final answer
    x = 167,408.28

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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.