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Finding the Fourth Proportional to 303,745.42, 419,172.71 and 167,779.02

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Solution

The fourth proportional to 303,745.42, 419,172.71 and 167,779.02 is: 231,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,745.42 : 419,172.71 = 167,779.02 : x
  2. Step 2: Convert to fraction form
    303,745.42/419,172.71 = 167,779.02/x
  3. Step 3: Cross multiply
    303,745.42x = 419,172.71 × 167,779.02
  4. Step 4: Simplify right side
    303,745.42x = 70,328,386,494.54
  5. Step 5: Solve for x
    x = 70,328,386,494.54/303,745.42
  6. Step 6: Final answer
    x = 231,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.