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Finding the Fourth Proportional to 213,859.20, 320,865.60 and 206,179.20

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Solution

The fourth proportional to 213,859.20, 320,865.60 and 206,179.20 is: 309,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.20 : 320,865.60 = 206,179.20 : x
  2. Step 2: Convert to fraction form
    213,859.20/320,865.60 = 206,179.20/x
  3. Step 3: Cross multiply
    213,859.20x = 320,865.60 × 206,179.20
  4. Step 4: Simplify right side
    213,859.20x = 66,155,812,715.52
  5. Step 5: Solve for x
    x = 66,155,812,715.52/213,859.20
  6. Step 6: Final answer
    x = 309,342.84

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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.