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Finding the Fourth Proportional to 311,618.80, 430,021.46 and 175,680.95

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Solution

The fourth proportional to 311,618.80, 430,021.46 and 175,680.95 is: 242,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,618.80 : 430,021.46 = 175,680.95 : x
  2. Step 2: Convert to fraction form
    311,618.80/430,021.46 = 175,680.95/x
  3. Step 3: Cross multiply
    311,618.80x = 430,021.46 × 175,680.95
  4. Step 4: Simplify right side
    311,618.80x = 75,546,577,734.78
  5. Step 5: Solve for x
    x = 75,546,577,734.78/311,618.80
  6. Step 6: Final answer
    x = 242,432.67

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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.