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Finding the Fourth Proportional to 311,520.58, 468,256.27 and 205,585.29

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Solution

The fourth proportional to 311,520.58, 468,256.27 and 205,585.29 is: 309,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,520.58 : 468,256.27 = 205,585.29 : x
  2. Step 2: Convert to fraction form
    311,520.58/468,256.27 = 205,585.29/x
  3. Step 3: Cross multiply
    311,520.58x = 468,256.27 × 205,585.29
  4. Step 4: Simplify right side
    311,520.58x = 96,266,599,891.63
  5. Step 5: Solve for x
    x = 96,266,599,891.63/311,520.58
  6. Step 6: Final answer
    x = 309,021.64

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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.