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Finding the Fourth Proportional to 411,716.20, 617,603.10 and 162,365.80

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Solution

The fourth proportional to 411,716.20, 617,603.10 and 162,365.80 is: 243,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,716.20 : 617,603.10 = 162,365.80 : x
  2. Step 2: Convert to fraction form
    411,716.20/617,603.10 = 162,365.80/x
  3. Step 3: Cross multiply
    411,716.20x = 617,603.10 × 162,365.80
  4. Step 4: Simplify right side
    411,716.20x = 100,277,621,413.98
  5. Step 5: Solve for x
    x = 100,277,621,413.98/411,716.20
  6. Step 6: Final answer
    x = 243,560.06

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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.