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Finding the Fourth Proportional to 383,180, 575,278.68 and 327,378.56

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Solution

The fourth proportional to 383,180, 575,278.68 and 327,378.56 is: 491,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,180 : 575,278.68 = 327,378.56 : x
  2. Step 2: Convert to fraction form
    383,180/575,278.68 = 327,378.56/x
  3. Step 3: Cross multiply
    383,180x = 575,278.68 × 327,378.56
  4. Step 4: Simplify right side
    383,180x = 188,333,905,857.10
  5. Step 5: Solve for x
    x = 188,333,905,857.10/383,180
  6. Step 6: Final answer
    x = 491,502.44

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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.