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Finding the Fourth Proportional to 397,089, 595,378.20 and 261,996.96

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Solution

The fourth proportional to 397,089, 595,378.20 and 261,996.96 is: 392,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,089 : 595,378.20 = 261,996.96 : x
  2. Step 2: Convert to fraction form
    397,089/595,378.20 = 261,996.96/x
  3. Step 3: Cross multiply
    397,089x = 595,378.20 × 261,996.96
  4. Step 4: Simplify right side
    397,089x = 155,987,278,450.27
  5. Step 5: Solve for x
    x = 155,987,278,450.27/397,089
  6. Step 6: Final answer
    x = 392,826.99

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1.5x scale

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.