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Finding the Fourth Proportional to 395,380.68, 545,624.57 and 214,092.06

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Solution

The fourth proportional to 395,380.68, 545,624.57 and 214,092.06 is: 295,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,380.68 : 545,624.57 = 214,092.06 : x
  2. Step 2: Convert to fraction form
    395,380.68/545,624.57 = 214,092.06/x
  3. Step 3: Cross multiply
    395,380.68x = 545,624.57 × 214,092.06
  4. Step 4: Simplify right side
    395,380.68x = 116,813,887,107.45
  5. Step 5: Solve for x
    x = 116,813,887,107.45/395,380.68
  6. Step 6: Final answer
    x = 295,446.62

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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.