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Finding the Fourth Proportional to 353,212.57, 488,716.91 and 307,984.80

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Solution

The fourth proportional to 353,212.57, 488,716.91 and 307,984.80 is: 426,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,212.57 : 488,716.91 = 307,984.80 : x
  2. Step 2: Convert to fraction form
    353,212.57/488,716.91 = 307,984.80/x
  3. Step 3: Cross multiply
    353,212.57x = 488,716.91 × 307,984.80
  4. Step 4: Simplify right side
    353,212.57x = 150,517,379,782.97
  5. Step 5: Solve for x
    x = 150,517,379,782.97/353,212.57
  6. Step 6: Final answer
    x = 426,138.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.