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Finding the Fourth Proportional to 214,969.20, 322,453.80 and 188,725.20

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Solution

The fourth proportional to 214,969.20, 322,453.80 and 188,725.20 is: 283,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.20 : 322,453.80 = 188,725.20 : x
  2. Step 2: Convert to fraction form
    214,969.20/322,453.80 = 188,725.20/x
  3. Step 3: Cross multiply
    214,969.20x = 322,453.80 × 188,725.20
  4. Step 4: Simplify right side
    214,969.20x = 60,855,157,895.76
  5. Step 5: Solve for x
    x = 60,855,157,895.76/214,969.20
  6. Step 6: Final answer
    x = 283,087.80

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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.