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Finding the Fourth Proportional to 309,804.42, 464,669.72 and 85,187.68

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Solution

The fourth proportional to 309,804.42, 464,669.72 and 85,187.68 is: 127,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,804.42 : 464,669.72 = 85,187.68 : x
  2. Step 2: Convert to fraction form
    309,804.42/464,669.72 = 85,187.68/x
  3. Step 3: Cross multiply
    309,804.42x = 464,669.72 × 85,187.68
  4. Step 4: Simplify right side
    309,804.42x = 39,584,135,413.05
  5. Step 5: Solve for x
    x = 39,584,135,413.05/309,804.42
  6. Step 6: Final answer
    x = 127,771.37

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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.