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Finding the Fourth Proportional to 427,393.02, 641,071.71 and 111,842.94

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Solution

The fourth proportional to 427,393.02, 641,071.71 and 111,842.94 is: 167,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,393.02 : 641,071.71 = 111,842.94 : x
  2. Step 2: Convert to fraction form
    427,393.02/641,071.71 = 111,842.94/x
  3. Step 3: Cross multiply
    427,393.02x = 641,071.71 × 111,842.94
  4. Step 4: Simplify right side
    427,393.02x = 71,699,344,797.23
  5. Step 5: Solve for x
    x = 71,699,344,797.23/427,393.02
  6. Step 6: Final answer
    x = 167,759.75

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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.