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Finding the Fourth Proportional to 311,967.60, 468,037.80 and 206,991.60

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Solution

The fourth proportional to 311,967.60, 468,037.80 and 206,991.60 is: 310,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,967.60 : 468,037.80 = 206,991.60 : x
  2. Step 2: Convert to fraction form
    311,967.60/468,037.80 = 206,991.60/x
  3. Step 3: Cross multiply
    311,967.60x = 468,037.80 × 206,991.60
  4. Step 4: Simplify right side
    311,967.60x = 96,879,893,082.48
  5. Step 5: Solve for x
    x = 96,879,893,082.48/311,967.60
  6. Step 6: Final answer
    x = 310,544.73

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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.