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Finding the Fourth Proportional to 427,241.44, 640,898.52 and 111,697.84

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Solution

The fourth proportional to 427,241.44, 640,898.52 and 111,697.84 is: 167,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,241.44 : 640,898.52 = 111,697.84 : x
  2. Step 2: Convert to fraction form
    427,241.44/640,898.52 = 111,697.84/x
  3. Step 3: Cross multiply
    427,241.44x = 640,898.52 × 111,697.84
  4. Step 4: Simplify right side
    427,241.44x = 71,586,980,343.20
  5. Step 5: Solve for x
    x = 71,586,980,343.20/427,241.44
  6. Step 6: Final answer
    x = 167,556.27

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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.