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Finding the Fourth Proportional to 377,104.25, 520,413.72 and 205,033.79

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Solution

The fourth proportional to 377,104.25, 520,413.72 and 205,033.79 is: 282,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,104.25 : 520,413.72 = 205,033.79 : x
  2. Step 2: Convert to fraction form
    377,104.25/520,413.72 = 205,033.79/x
  3. Step 3: Cross multiply
    377,104.25x = 520,413.72 × 205,033.79
  4. Step 4: Simplify right side
    377,104.25x = 106,702,397,379.60
  5. Step 5: Solve for x
    x = 106,702,397,379.60/377,104.25
  6. Step 6: Final answer
    x = 282,951.99

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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.