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Finding the Fourth Proportional to 213,715.20, 321,033.60 and 205,881.60

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Solution

The fourth proportional to 213,715.20, 321,033.60 and 205,881.60 is: 309,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,715.20 : 321,033.60 = 205,881.60 : x
  2. Step 2: Convert to fraction form
    213,715.20/321,033.60 = 205,881.60/x
  3. Step 3: Cross multiply
    213,715.20x = 321,033.60 × 205,881.60
  4. Step 4: Simplify right side
    213,715.20x = 66,094,911,221.76
  5. Step 5: Solve for x
    x = 66,094,911,221.76/213,715.20
  6. Step 6: Final answer
    x = 309,266.31

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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.