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Finding the Fourth Proportional to 311,920.21, 430,429.84 and 177,775.57

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Solution

The fourth proportional to 311,920.21, 430,429.84 and 177,775.57 is: 245,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.21 : 430,429.84 = 177,775.57 : x
  2. Step 2: Convert to fraction form
    311,920.21/430,429.84 = 177,775.57/x
  3. Step 3: Cross multiply
    311,920.21x = 430,429.84 × 177,775.57
  4. Step 4: Simplify right side
    311,920.21x = 76,519,910,151.01
  5. Step 5: Solve for x
    x = 76,519,910,151.01/311,920.21
  6. Step 6: Final answer
    x = 245,318.86

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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.