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Finding the Fourth Proportional to 311,329.40, 467,051.70 and 100,974.20

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Solution

The fourth proportional to 311,329.40, 467,051.70 and 100,974.20 is: 151,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,329.40 : 467,051.70 = 100,974.20 : x
  2. Step 2: Convert to fraction form
    311,329.40/467,051.70 = 100,974.20/x
  3. Step 3: Cross multiply
    311,329.40x = 467,051.70 × 100,974.20
  4. Step 4: Simplify right side
    311,329.40x = 47,160,171,766.14
  5. Step 5: Solve for x
    x = 47,160,171,766.14/311,329.40
  6. Step 6: Final answer
    x = 151,479.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.