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Finding the Fourth Proportional to 200,413.60, 300,645.36 and 65,474.64

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Solution

The fourth proportional to 200,413.60, 300,645.36 and 65,474.64 is: 98,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.60 : 300,645.36 = 65,474.64 : x
  2. Step 2: Convert to fraction form
    200,413.60/300,645.36 = 65,474.64/x
  3. Step 3: Cross multiply
    200,413.60x = 300,645.36 × 65,474.64
  4. Step 4: Simplify right side
    200,413.60x = 19,684,646,713.67
  5. Step 5: Solve for x
    x = 19,684,646,713.67/200,413.60
  6. Step 6: Final answer
    x = 98,220.11

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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.