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Finding the Fourth Proportional to 354,413.52, 489,079.83 and 201,468.42

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Solution

The fourth proportional to 354,413.52, 489,079.83 and 201,468.42 is: 278,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,413.52 : 489,079.83 = 201,468.42 : x
  2. Step 2: Convert to fraction form
    354,413.52/489,079.83 = 201,468.42/x
  3. Step 3: Cross multiply
    354,413.52x = 489,079.83 × 201,468.42
  4. Step 4: Simplify right side
    354,413.52x = 98,534,140,603.97
  5. Step 5: Solve for x
    x = 98,534,140,603.97/354,413.52
  6. Step 6: Final answer
    x = 278,020.26

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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.