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Finding the Fourth Proportional to 652,067.28, 978,241.68 and 202,779.36

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Solution

The fourth proportional to 652,067.28, 978,241.68 and 202,779.36 is: 304,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,067.28 : 978,241.68 = 202,779.36 : x
  2. Step 2: Convert to fraction form
    652,067.28/978,241.68 = 202,779.36/x
  3. Step 3: Cross multiply
    652,067.28x = 978,241.68 × 202,779.36
  4. Step 4: Simplify right side
    652,067.28x = 198,367,221,795.73
  5. Step 5: Solve for x
    x = 198,367,221,795.73/652,067.28
  6. Step 6: Final answer
    x = 304,212.81

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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.