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Finding the Fourth Proportional to 321,912.60, 482,868.90 and 188,856.60

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Solution

The fourth proportional to 321,912.60, 482,868.90 and 188,856.60 is: 283,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,912.60 : 482,868.90 = 188,856.60 : x
  2. Step 2: Convert to fraction form
    321,912.60/482,868.90 = 188,856.60/x
  3. Step 3: Cross multiply
    321,912.60x = 482,868.90 × 188,856.60
  4. Step 4: Simplify right side
    321,912.60x = 91,192,978,699.74
  5. Step 5: Solve for x
    x = 91,192,978,699.74/321,912.60
  6. Step 6: Final answer
    x = 283,284.90

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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.