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Finding the Fourth Proportional to 436,267.70, 654,048.53 and 196,205.78

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Solution

The fourth proportional to 436,267.70, 654,048.53 and 196,205.78 is: 294,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,267.70 : 654,048.53 = 196,205.78 : x
  2. Step 2: Convert to fraction form
    436,267.70/654,048.53 = 196,205.78/x
  3. Step 3: Cross multiply
    436,267.70x = 654,048.53 × 196,205.78
  4. Step 4: Simplify right side
    436,267.70x = 128,328,104,112.14
  5. Step 5: Solve for x
    x = 128,328,104,112.14/436,267.70
  6. Step 6: Final answer
    x = 294,149.91

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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.