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Finding the Fourth Proportional to 395,041.86, 545,153.87 and 213,749.82

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Solution

The fourth proportional to 395,041.86, 545,153.87 and 213,749.82 is: 294,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,041.86 : 545,153.87 = 213,749.82 : x
  2. Step 2: Convert to fraction form
    395,041.86/545,153.87 = 213,749.82/x
  3. Step 3: Cross multiply
    395,041.86x = 545,153.87 × 213,749.82
  4. Step 4: Simplify right side
    395,041.86x = 116,526,540,516.05
  5. Step 5: Solve for x
    x = 116,526,540,516.05/395,041.86
  6. Step 6: Final answer
    x = 294,972.64

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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.