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Finding the Fourth Proportional to 395,381.45, 545,625.60 and 214,092.81

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Solution

The fourth proportional to 395,381.45, 545,625.60 and 214,092.81 is: 295,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,381.45 : 545,625.60 = 214,092.81 : x
  2. Step 2: Convert to fraction form
    395,381.45/545,625.60 = 214,092.81/x
  3. Step 3: Cross multiply
    395,381.45x = 545,625.60 × 214,092.81
  4. Step 4: Simplify right side
    395,381.45x = 116,814,517,911.94
  5. Step 5: Solve for x
    x = 116,814,517,911.94/395,381.45
  6. Step 6: Final answer
    x = 295,447.65

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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.