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Finding the Fourth Proportional to 498,413.20, 747,792.60 and 218,131.60

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Solution

The fourth proportional to 498,413.20, 747,792.60 and 218,131.60 is: 327,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.20 : 747,792.60 = 218,131.60 : x
  2. Step 2: Convert to fraction form
    498,413.20/747,792.60 = 218,131.60/x
  3. Step 3: Cross multiply
    498,413.20x = 747,792.60 × 218,131.60
  4. Step 4: Simplify right side
    498,413.20x = 163,117,196,306.16
  5. Step 5: Solve for x
    x = 163,117,196,306.16/498,413.20
  6. Step 6: Final answer
    x = 327,273.03

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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.