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Finding the Fourth Proportional to 395,101.87, 545,241.96 and 213,813.77

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Solution

The fourth proportional to 395,101.87, 545,241.96 and 213,813.77 is: 295,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,101.87 : 545,241.96 = 213,813.77 : x
  2. Step 2: Convert to fraction form
    395,101.87/545,241.96 = 213,813.77/x
  3. Step 3: Cross multiply
    395,101.87x = 545,241.96 × 213,813.77
  4. Step 4: Simplify right side
    395,101.87x = 116,580,236,303.58
  5. Step 5: Solve for x
    x = 116,580,236,303.58/395,101.87
  6. Step 6: Final answer
    x = 295,063.74

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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.