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Finding the Fourth Proportional to 263,894.60, 395,096.70 and 205,412.60

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Solution

The fourth proportional to 263,894.60, 395,096.70 and 205,412.60 is: 307,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,894.60 : 395,096.70 = 205,412.60 : x
  2. Step 2: Convert to fraction form
    263,894.60/395,096.70 = 205,412.60/x
  3. Step 3: Cross multiply
    263,894.60x = 395,096.70 × 205,412.60
  4. Step 4: Simplify right side
    263,894.60x = 81,157,840,398.42
  5. Step 5: Solve for x
    x = 81,157,840,398.42/263,894.60
  6. Step 6: Final answer
    x = 307,538.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.