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Finding the Fourth Proportional to 311,073.85, 466,135.43 and 209,496.30

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Solution

The fourth proportional to 311,073.85, 466,135.43 and 209,496.30 is: 313,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,073.85 : 466,135.43 = 209,496.30 : x
  2. Step 2: Convert to fraction form
    311,073.85/466,135.43 = 209,496.30/x
  3. Step 3: Cross multiply
    311,073.85x = 466,135.43 × 209,496.30
  4. Step 4: Simplify right side
    311,073.85x = 97,653,646,836.43
  5. Step 5: Solve for x
    x = 97,653,646,836.43/311,073.85
  6. Step 6: Final answer
    x = 313,924.32

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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.