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Finding the Fourth Proportional to 263,978.95, 364,289.80 and 143,119.86

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Solution

The fourth proportional to 263,978.95, 364,289.80 and 143,119.86 is: 197,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,978.95 : 364,289.80 = 143,119.86 : x
  2. Step 2: Convert to fraction form
    263,978.95/364,289.80 = 143,119.86/x
  3. Step 3: Cross multiply
    263,978.95x = 364,289.80 × 143,119.86
  4. Step 4: Simplify right side
    263,978.95x = 52,137,105,175.43
  5. Step 5: Solve for x
    x = 52,137,105,175.43/263,978.95
  6. Step 6: Final answer
    x = 197,504.78

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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.