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Finding the Fourth Proportional to 321,883.20, 482,889.60 and 111,477.60

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Solution

The fourth proportional to 321,883.20, 482,889.60 and 111,477.60 is: 167,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,883.20 : 482,889.60 = 111,477.60 : x
  2. Step 2: Convert to fraction form
    321,883.20/482,889.60 = 111,477.60/x
  3. Step 3: Cross multiply
    321,883.20x = 482,889.60 × 111,477.60
  4. Step 4: Simplify right side
    321,883.20x = 53,831,373,672.96
  5. Step 5: Solve for x
    x = 53,831,373,672.96/321,883.20
  6. Step 6: Final answer
    x = 167,238.84

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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.