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Finding the Fourth Proportional to 395,403.72, 545,659.70 and 214,115.66

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Solution

The fourth proportional to 395,403.72, 545,659.70 and 214,115.66 is: 295,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,403.72 : 545,659.70 = 214,115.66 : x
  2. Step 2: Convert to fraction form
    395,403.72/545,659.70 = 214,115.66/x
  3. Step 3: Cross multiply
    395,403.72x = 545,659.70 × 214,115.66
  4. Step 4: Simplify right side
    395,403.72x = 116,834,286,800.90
  5. Step 5: Solve for x
    x = 116,834,286,800.90/395,403.72
  6. Step 6: Final answer
    x = 295,481.00

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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.