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Finding the Fourth Proportional to 311,521.58, 468,257.77 and 205,586.29

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Solution

The fourth proportional to 311,521.58, 468,257.77 and 205,586.29 is: 309,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,521.58 : 468,257.77 = 205,586.29 : x
  2. Step 2: Convert to fraction form
    311,521.58/468,257.77 = 205,586.29/x
  3. Step 3: Cross multiply
    311,521.58x = 468,257.77 × 205,586.29
  4. Step 4: Simplify right side
    311,521.58x = 96,267,377,697.97
  5. Step 5: Solve for x
    x = 96,267,377,697.97/311,521.58
  6. Step 6: Final answer
    x = 309,023.14

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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.