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Finding the Fourth Proportional to 427,442, 641,171.64 and 111,926.48

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Solution

The fourth proportional to 427,442, 641,171.64 and 111,926.48 is: 167,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,442 : 641,171.64 = 111,926.48 : x
  2. Step 2: Convert to fraction form
    427,442/641,171.64 = 111,926.48/x
  3. Step 3: Cross multiply
    427,442x = 641,171.64 × 111,926.48
  4. Step 4: Simplify right side
    427,442x = 71,764,084,741.03
  5. Step 5: Solve for x
    x = 71,764,084,741.03/427,442
  6. Step 6: Final answer
    x = 167,891.98

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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.