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Finding the Fourth Proportional to 311,096.21, 429,336.41 and 188,624.21

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Solution

The fourth proportional to 311,096.21, 429,336.41 and 188,624.21 is: 260,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,096.21 : 429,336.41 = 188,624.21 : x
  2. Step 2: Convert to fraction form
    311,096.21/429,336.41 = 188,624.21/x
  3. Step 3: Cross multiply
    311,096.21x = 429,336.41 × 188,624.21
  4. Step 4: Simplify right side
    311,096.21x = 80,983,238,070.68
  5. Step 5: Solve for x
    x = 80,983,238,070.68/311,096.21
  6. Step 6: Final answer
    x = 260,315.74

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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.