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Finding the Fourth Proportional to 213,911.10, 320,866.65 and 204,069.60

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Solution

The fourth proportional to 213,911.10, 320,866.65 and 204,069.60 is: 306,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,911.10 : 320,866.65 = 204,069.60 : x
  2. Step 2: Convert to fraction form
    213,911.10/320,866.65 = 204,069.60/x
  3. Step 3: Cross multiply
    213,911.10x = 320,866.65 × 204,069.60
  4. Step 4: Simplify right side
    213,911.10x = 65,479,128,918.84
  5. Step 5: Solve for x
    x = 65,479,128,918.84/213,911.10
  6. Step 6: Final answer
    x = 306,104.40

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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.