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Finding the Fourth Proportional to 380,255.60, 570,413.10 and 169,914.80

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Solution

The fourth proportional to 380,255.60, 570,413.10 and 169,914.80 is: 254,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,255.60 : 570,413.10 = 169,914.80 : x
  2. Step 2: Convert to fraction form
    380,255.60/570,413.10 = 169,914.80/x
  3. Step 3: Cross multiply
    380,255.60x = 570,413.10 × 169,914.80
  4. Step 4: Simplify right side
    380,255.60x = 96,921,627,803.88
  5. Step 5: Solve for x
    x = 96,921,627,803.88/380,255.60
  6. Step 6: Final answer
    x = 254,885.47

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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.