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Finding the Fourth Proportional to 395,480.67, 545,760.63 and 214,188.63

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Solution

The fourth proportional to 395,480.67, 545,760.63 and 214,188.63 is: 295,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,480.67 : 545,760.63 = 214,188.63 : x
  2. Step 2: Convert to fraction form
    395,480.67/545,760.63 = 214,188.63/x
  3. Step 3: Cross multiply
    395,480.67x = 545,760.63 × 214,188.63
  4. Step 4: Simplify right side
    395,480.67x = 116,895,721,647.64
  5. Step 5: Solve for x
    x = 116,895,721,647.64/395,480.67
  6. Step 6: Final answer
    x = 295,578.85

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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.