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Finding the Fourth Proportional to 299,126.86, 448,413.27 and 156,942.70

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Solution

The fourth proportional to 299,126.86, 448,413.27 and 156,942.70 is: 235,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,126.86 : 448,413.27 = 156,942.70 : x
  2. Step 2: Convert to fraction form
    299,126.86/448,413.27 = 156,942.70/x
  3. Step 3: Cross multiply
    299,126.86x = 448,413.27 × 156,942.70
  4. Step 4: Simplify right side
    299,126.86x = 70,375,189,309.63
  5. Step 5: Solve for x
    x = 70,375,189,309.63/299,126.86
  6. Step 6: Final answer
    x = 235,268.71

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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.