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Finding the Fourth Proportional to 311,697.68, 430,121.22 and 175,736.48

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Solution

The fourth proportional to 311,697.68, 430,121.22 and 175,736.48 is: 242,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,697.68 : 430,121.22 = 175,736.48 : x
  2. Step 2: Convert to fraction form
    311,697.68/430,121.22 = 175,736.48/x
  3. Step 3: Cross multiply
    311,697.68x = 430,121.22 × 175,736.48
  4. Step 4: Simplify right side
    311,697.68x = 75,587,989,176.11
  5. Step 5: Solve for x
    x = 75,587,989,176.11/311,697.68
  6. Step 6: Final answer
    x = 242,504.18

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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.