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Finding the Fourth Proportional to 411,608.94, 617,413.42 and 271,334.76

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Solution

The fourth proportional to 411,608.94, 617,413.42 and 271,334.76 is: 407,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,608.94 : 617,413.42 = 271,334.76 : x
  2. Step 2: Convert to fraction form
    411,608.94/617,413.42 = 271,334.76/x
  3. Step 3: Cross multiply
    411,608.94x = 617,413.42 × 271,334.76
  4. Step 4: Simplify right side
    411,608.94x = 167,525,722,136.48
  5. Step 5: Solve for x
    x = 167,525,722,136.48/411,608.94
  6. Step 6: Final answer
    x = 407,002.15

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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.