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Finding the Fourth Proportional to 378,779.52, 568,021.62 and 141,993

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Solution

The fourth proportional to 378,779.52, 568,021.62 and 141,993 is: 212,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,779.52 : 568,021.62 = 141,993 : x
  2. Step 2: Convert to fraction form
    378,779.52/568,021.62 = 141,993/x
  3. Step 3: Cross multiply
    378,779.52x = 568,021.62 × 141,993
  4. Step 4: Simplify right side
    378,779.52x = 80,655,093,888.66
  5. Step 5: Solve for x
    x = 80,655,093,888.66/378,779.52
  6. Step 6: Final answer
    x = 212,934.15

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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.