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Finding the Fourth Proportional to 208,275, 312,413.40 and 50,503.74

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Solution

The fourth proportional to 208,275, 312,413.40 and 50,503.74 is: 75,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,275 : 312,413.40 = 50,503.74 : x
  2. Step 2: Convert to fraction form
    208,275/312,413.40 = 50,503.74/x
  3. Step 3: Cross multiply
    208,275x = 312,413.40 × 50,503.74
  4. Step 4: Simplify right side
    208,275x = 15,778,045,126.12
  5. Step 5: Solve for x
    x = 15,778,045,126.12/208,275
  6. Step 6: Final answer
    x = 75,755.83

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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.