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Finding the Fourth Proportional to 399,350.53, 599,201.40 and 209,766.86

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Solution

The fourth proportional to 399,350.53, 599,201.40 and 209,766.86 is: 314,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,350.53 : 599,201.40 = 209,766.86 : x
  2. Step 2: Convert to fraction form
    399,350.53/599,201.40 = 209,766.86/x
  3. Step 3: Cross multiply
    399,350.53x = 599,201.40 × 209,766.86
  4. Step 4: Simplify right side
    399,350.53x = 125,692,598,413.80
  5. Step 5: Solve for x
    x = 125,692,598,413.80/399,350.53
  6. Step 6: Final answer
    x = 314,742.54

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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.