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Finding the Fourth Proportional to 312,431.96, 468,332.37 and 123,025.25

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Solution

The fourth proportional to 312,431.96, 468,332.37 and 123,025.25 is: 184,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,431.96 : 468,332.37 = 123,025.25 : x
  2. Step 2: Convert to fraction form
    312,431.96/468,332.37 = 123,025.25/x
  3. Step 3: Cross multiply
    312,431.96x = 468,332.37 × 123,025.25
  4. Step 4: Simplify right side
    312,431.96x = 57,616,706,287.22
  5. Step 5: Solve for x
    x = 57,616,706,287.22/312,431.96
  6. Step 6: Final answer
    x = 184,413.61

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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.