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Finding the Fourth Proportional to 299,711.20, 450,085.20 and 194,994.40

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Solution

The fourth proportional to 299,711.20, 450,085.20 and 194,994.40 is: 292,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,711.20 : 450,085.20 = 194,994.40 : x
  2. Step 2: Convert to fraction form
    299,711.20/450,085.20 = 194,994.40/x
  3. Step 3: Cross multiply
    299,711.20x = 450,085.20 × 194,994.40
  4. Step 4: Simplify right side
    299,711.20x = 87,764,093,522.88
  5. Step 5: Solve for x
    x = 87,764,093,522.88/299,711.20
  6. Step 6: Final answer
    x = 292,828.88

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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.