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Finding the Fourth Proportional to 326,653.72, 450,779.94 and 205,873

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Solution

The fourth proportional to 326,653.72, 450,779.94 and 205,873 is: 284,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,653.72 : 450,779.94 = 205,873 : x
  2. Step 2: Convert to fraction form
    326,653.72/450,779.94 = 205,873/x
  3. Step 3: Cross multiply
    326,653.72x = 450,779.94 × 205,873
  4. Step 4: Simplify right side
    326,653.72x = 92,803,418,587.62
  5. Step 5: Solve for x
    x = 92,803,418,587.62/326,653.72
  6. Step 6: Final answer
    x = 284,103.36

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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.