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Finding the Fourth Proportional to 300,114.29, 449,671.66 and 211,180.95

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Solution

The fourth proportional to 300,114.29, 449,671.66 and 211,180.95 is: 316,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,114.29 : 449,671.66 = 211,180.95 : x
  2. Step 2: Convert to fraction form
    300,114.29/449,671.66 = 211,180.95/x
  3. Step 3: Cross multiply
    300,114.29x = 449,671.66 × 211,180.95
  4. Step 4: Simplify right side
    300,114.29x = 94,962,088,346.88
  5. Step 5: Solve for x
    x = 94,962,088,346.88/300,114.29
  6. Step 6: Final answer
    x = 316,419.75

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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.