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Finding the Fourth Proportional to 427,443, 641,173.14 and 111,927.48

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Solution

The fourth proportional to 427,443, 641,173.14 and 111,927.48 is: 167,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,443 : 641,173.14 = 111,927.48 : x
  2. Step 2: Convert to fraction form
    427,443/641,173.14 = 111,927.48/x
  3. Step 3: Cross multiply
    427,443x = 641,173.14 × 111,927.48
  4. Step 4: Simplify right side
    427,443x = 71,764,893,803.89
  5. Step 5: Solve for x
    x = 71,764,893,803.89/427,443
  6. Step 6: Final answer
    x = 167,893.48

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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.