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Finding the Fourth Proportional to 395,604.61, 545,933.72 and 214,321.14

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Solution

The fourth proportional to 395,604.61, 545,933.72 and 214,321.14 is: 295,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,604.61 : 545,933.72 = 214,321.14 : x
  2. Step 2: Convert to fraction form
    395,604.61/545,933.72 = 214,321.14/x
  3. Step 3: Cross multiply
    395,604.61x = 545,933.72 × 214,321.14
  4. Step 4: Simplify right side
    395,604.61x = 117,005,137,770.64
  5. Step 5: Solve for x
    x = 117,005,137,770.64/395,604.61
  6. Step 6: Final answer
    x = 295,762.83

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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.