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Finding the Fourth Proportional to 293,856, 405,521.28 and 159,720

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Solution

The fourth proportional to 293,856, 405,521.28 and 159,720 is: 220,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,856 : 405,521.28 = 159,720 : x
  2. Step 2: Convert to fraction form
    293,856/405,521.28 = 159,720/x
  3. Step 3: Cross multiply
    293,856x = 405,521.28 × 159,720
  4. Step 4: Simplify right side
    293,856x = 64,769,858,841.60
  5. Step 5: Solve for x
    x = 64,769,858,841.60/293,856
  6. Step 6: Final answer
    x = 220,413.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.