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Finding the Fourth Proportional to 978,413.60, 1,467,620.40 and 417,504.80

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Solution

The fourth proportional to 978,413.60, 1,467,620.40 and 417,504.80 is: 626,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,413.60 : 1,467,620.40 = 417,504.80 : x
  2. Step 2: Convert to fraction form
    978,413.60/1,467,620.40 = 417,504.80/x
  3. Step 3: Cross multiply
    978,413.60x = 1,467,620.40 × 417,504.80
  4. Step 4: Simplify right side
    978,413.60x = 612,738,561,577.92
  5. Step 5: Solve for x
    x = 612,738,561,577.92/978,413.60
  6. Step 6: Final answer
    x = 626,257.20

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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.