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Finding the Fourth Proportional to 395,644.25, 545,989.19 and 214,357.43

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Solution

The fourth proportional to 395,644.25, 545,989.19 and 214,357.43 is: 295,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,644.25 : 545,989.19 = 214,357.43 : x
  2. Step 2: Convert to fraction form
    395,644.25/545,989.19 = 214,357.43/x
  3. Step 3: Cross multiply
    395,644.25x = 545,989.19 × 214,357.43
  4. Step 4: Simplify right side
    395,644.25x = 117,036,835,774.45
  5. Step 5: Solve for x
    x = 117,036,835,774.45/395,644.25
  6. Step 6: Final answer
    x = 295,813.32

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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.