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Finding the Fourth Proportional to 354,413.56, 489,102.52 and 193,277.40

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Solution

The fourth proportional to 354,413.56, 489,102.52 and 193,277.40 is: 266,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,413.56 : 489,102.52 = 193,277.40 : x
  2. Step 2: Convert to fraction form
    354,413.56/489,102.52 = 193,277.40/x
  3. Step 3: Cross multiply
    354,413.56x = 489,102.52 × 193,277.40
  4. Step 4: Simplify right side
    354,413.56x = 94,532,463,399.05
  5. Step 5: Solve for x
    x = 94,532,463,399.05/354,413.56
  6. Step 6: Final answer
    x = 266,729.25

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1.5x scale

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.