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Finding the Fourth Proportional to 280,658.86, 420,704.62 and 120,839.04

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Solution

The fourth proportional to 280,658.86, 420,704.62 and 120,839.04 is: 181,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,658.86 : 420,704.62 = 120,839.04 : x
  2. Step 2: Convert to fraction form
    280,658.86/420,704.62 = 120,839.04/x
  3. Step 3: Cross multiply
    280,658.86x = 420,704.62 × 120,839.04
  4. Step 4: Simplify right side
    280,658.86x = 50,837,542,102.27
  5. Step 5: Solve for x
    x = 50,837,542,102.27/280,658.86
  6. Step 6: Final answer
    x = 181,136.43

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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.