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Finding the Fourth Proportional to 395,379.94, 545,623.54 and 214,091.30

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Solution

The fourth proportional to 395,379.94, 545,623.54 and 214,091.30 is: 295,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,379.94 : 545,623.54 = 214,091.30 : x
  2. Step 2: Convert to fraction form
    395,379.94/545,623.54 = 214,091.30/x
  3. Step 3: Cross multiply
    395,379.94x = 545,623.54 × 214,091.30
  4. Step 4: Simplify right side
    395,379.94x = 116,813,253,818.03
  5. Step 5: Solve for x
    x = 116,813,253,818.03/395,379.94
  6. Step 6: Final answer
    x = 295,445.58

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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.