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Finding the Fourth Proportional to 263,509.58, 363,643.14 and 142,650.78

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Solution

The fourth proportional to 263,509.58, 363,643.14 and 142,650.78 is: 196,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509.58 : 363,643.14 = 142,650.78 : x
  2. Step 2: Convert to fraction form
    263,509.58/363,643.14 = 142,650.78/x
  3. Step 3: Cross multiply
    263,509.58x = 363,643.14 × 142,650.78
  4. Step 4: Simplify right side
    263,509.58x = 51,873,978,779.42
  5. Step 5: Solve for x
    x = 51,873,978,779.42/263,509.58
  6. Step 6: Final answer
    x = 196,858.04

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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.