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Finding the Fourth Proportional to 311,923, 430,495.86 and 175,984.84

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Solution

The fourth proportional to 311,923, 430,495.86 and 175,984.84 is: 242,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923 : 430,495.86 = 175,984.84 : x
  2. Step 2: Convert to fraction form
    311,923/430,495.86 = 175,984.84/x
  3. Step 3: Cross multiply
    311,923x = 430,495.86 × 175,984.84
  4. Step 4: Simplify right side
    311,923x = 75,760,745,042.76
  5. Step 5: Solve for x
    x = 75,760,745,042.76/311,923
  6. Step 6: Final answer
    x = 242,882.84

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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.