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Finding the Fourth Proportional to 383,071.65, 575,115.36 and 327,270.34

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Solution

The fourth proportional to 383,071.65, 575,115.36 and 327,270.34 is: 491,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,071.65 : 575,115.36 = 327,270.34 : x
  2. Step 2: Convert to fraction form
    383,071.65/575,115.36 = 327,270.34/x
  3. Step 3: Cross multiply
    383,071.65x = 575,115.36 × 327,270.34
  4. Step 4: Simplify right side
    383,071.65x = 188,218,199,406.42
  5. Step 5: Solve for x
    x = 188,218,199,406.42/383,071.65
  6. Step 6: Final answer
    x = 491,339.41

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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.