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Finding the Fourth Proportional to 213,456.83, 320,185.24 and 80,366.94

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Solution

The fourth proportional to 213,456.83, 320,185.24 and 80,366.94 is: 120,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,456.83 : 320,185.24 = 80,366.94 : x
  2. Step 2: Convert to fraction form
    213,456.83/320,185.24 = 80,366.94/x
  3. Step 3: Cross multiply
    213,456.83x = 320,185.24 × 80,366.94
  4. Step 4: Simplify right side
    213,456.83x = 25,732,307,771.05
  5. Step 5: Solve for x
    x = 25,732,307,771.05/213,456.83
  6. Step 6: Final answer
    x = 120,550.41

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1.5x scale

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.