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Finding the Fourth Proportional to 311,711.91, 430,153.83 and 175,744.67

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Solution

The fourth proportional to 311,711.91, 430,153.83 and 175,744.67 is: 242,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,711.91 : 430,153.83 = 175,744.67 : x
  2. Step 2: Convert to fraction form
    311,711.91/430,153.83 = 175,744.67/x
  3. Step 3: Cross multiply
    311,711.91x = 430,153.83 × 175,744.67
  4. Step 4: Simplify right side
    311,711.91x = 75,597,240,751.82
  5. Step 5: Solve for x
    x = 75,597,240,751.82/311,711.91
  6. Step 6: Final answer
    x = 242,522.79

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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.