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Finding the Fourth Proportional to 311,908.32, 430,434 and 177,772.32

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Solution

The fourth proportional to 311,908.32, 430,434 and 177,772.32 is: 245,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908.32 : 430,434 = 177,772.32 : x
  2. Step 2: Convert to fraction form
    311,908.32/430,434 = 177,772.32/x
  3. Step 3: Cross multiply
    311,908.32x = 430,434 × 177,772.32
  4. Step 4: Simplify right side
    311,908.32x = 76,519,250,786.88
  5. Step 5: Solve for x
    x = 76,519,250,786.88/311,908.32
  6. Step 6: Final answer
    x = 245,326.10

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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.