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Finding the Fourth Proportional to 427,379.24, 641,216.28 and 161,215.94

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Solution

The fourth proportional to 427,379.24, 641,216.28 and 161,215.94 is: 241,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,379.24 : 641,216.28 = 161,215.94 : x
  2. Step 2: Convert to fraction form
    427,379.24/641,216.28 = 161,215.94/x
  3. Step 3: Cross multiply
    427,379.24x = 641,216.28 × 161,215.94
  4. Step 4: Simplify right side
    427,379.24x = 103,374,285,323.50
  5. Step 5: Solve for x
    x = 103,374,285,323.50/427,379.24
  6. Step 6: Final answer
    x = 241,879.52

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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.