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Finding the Fourth Proportional to 436,704.21, 655,048.98 and 196,684.56

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Solution

The fourth proportional to 436,704.21, 655,048.98 and 196,684.56 is: 295,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,704.21 : 655,048.98 = 196,684.56 : x
  2. Step 2: Convert to fraction form
    436,704.21/655,048.98 = 196,684.56/x
  3. Step 3: Cross multiply
    436,704.21x = 655,048.98 × 196,684.56
  4. Step 4: Simplify right side
    436,704.21x = 128,838,020,409.75
  5. Step 5: Solve for x
    x = 128,838,020,409.75/436,704.21
  6. Step 6: Final answer
    x = 295,023.54

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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.