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Finding the Fourth Proportional to 312,940.80, 469,413.12 and 76,285.44

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Solution

The fourth proportional to 312,940.80, 469,413.12 and 76,285.44 is: 114,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,940.80 : 469,413.12 = 76,285.44 : x
  2. Step 2: Convert to fraction form
    312,940.80/469,413.12 = 76,285.44/x
  3. Step 3: Cross multiply
    312,940.80x = 469,413.12 × 76,285.44
  4. Step 4: Simplify right side
    312,940.80x = 35,809,386,400.97
  5. Step 5: Solve for x
    x = 35,809,386,400.97/312,940.80
  6. Step 6: Final answer
    x = 114,428.63

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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.