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Finding the Fourth Proportional to 319,413.60, 478,198.80 and 194,997.60

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Solution

The fourth proportional to 319,413.60, 478,198.80 and 194,997.60 is: 291,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,413.60 : 478,198.80 = 194,997.60 : x
  2. Step 2: Convert to fraction form
    319,413.60/478,198.80 = 194,997.60/x
  3. Step 3: Cross multiply
    319,413.60x = 478,198.80 × 194,997.60
  4. Step 4: Simplify right side
    319,413.60x = 93,247,618,322.88
  5. Step 5: Solve for x
    x = 93,247,618,322.88/319,413.60
  6. Step 6: Final answer
    x = 291,933.78

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1.5x scale

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.