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Finding the Fourth Proportional to 404,378.40, 605,401.20 and 271,408.80

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Solution

The fourth proportional to 404,378.40, 605,401.20 and 271,408.80 is: 406,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,378.40 : 605,401.20 = 271,408.80 : x
  2. Step 2: Convert to fraction form
    404,378.40/605,401.20 = 271,408.80/x
  3. Step 3: Cross multiply
    404,378.40x = 605,401.20 × 271,408.80
  4. Step 4: Simplify right side
    404,378.40x = 164,311,213,210.56
  5. Step 5: Solve for x
    x = 164,311,213,210.56/404,378.40
  6. Step 6: Final answer
    x = 406,330.34

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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.