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Finding the Fourth Proportional to 303,413.27, 455,254.20 and 159,285.20

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Solution

The fourth proportional to 303,413.27, 455,254.20 and 159,285.20 is: 238,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,413.27 : 455,254.20 = 159,285.20 : x
  2. Step 2: Convert to fraction form
    303,413.27/455,254.20 = 159,285.20/x
  3. Step 3: Cross multiply
    303,413.27x = 455,254.20 × 159,285.20
  4. Step 4: Simplify right side
    303,413.27x = 72,515,254,021.57
  5. Step 5: Solve for x
    x = 72,515,254,021.57/303,413.27
  6. Step 6: Final answer
    x = 238,998.29

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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.