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Finding the Fourth Proportional to 300,709.53, 414,821.67 and 185,951.57

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Solution

The fourth proportional to 300,709.53, 414,821.67 and 185,951.57 is: 256,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709.53 : 414,821.67 = 185,951.57 : x
  2. Step 2: Convert to fraction form
    300,709.53/414,821.67 = 185,951.57/x
  3. Step 3: Cross multiply
    300,709.53x = 414,821.67 × 185,951.57
  4. Step 4: Simplify right side
    300,709.53x = 77,136,738,732.41
  5. Step 5: Solve for x
    x = 77,136,738,732.41/300,709.53
  6. Step 6: Final answer
    x = 256,515.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.