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Finding the Fourth Proportional to 270,586.85, 405,882.99 and 120,834.72

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Solution

The fourth proportional to 270,586.85, 405,882.99 and 120,834.72 is: 181,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.85 : 405,882.99 = 120,834.72 : x
  2. Step 2: Convert to fraction form
    270,586.85/405,882.99 = 120,834.72/x
  3. Step 3: Cross multiply
    270,586.85x = 405,882.99 × 120,834.72
  4. Step 4: Simplify right side
    270,586.85x = 49,044,757,449.41
  5. Step 5: Solve for x
    x = 49,044,757,449.41/270,586.85
  6. Step 6: Final answer
    x = 181,253.30

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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.