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Finding the Fourth Proportional to 226,779.80, 339,760.10 and 200,565.40

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Solution

The fourth proportional to 226,779.80, 339,760.10 and 200,565.40 is: 300,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,779.80 : 339,760.10 = 200,565.40 : x
  2. Step 2: Convert to fraction form
    226,779.80/339,760.10 = 200,565.40/x
  3. Step 3: Cross multiply
    226,779.80x = 339,760.10 × 200,565.40
  4. Step 4: Simplify right side
    226,779.80x = 68,144,120,360.54
  5. Step 5: Solve for x
    x = 68,144,120,360.54/226,779.80
  6. Step 6: Final answer
    x = 300,485.85

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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.