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Finding the Fourth Proportional to 311,954.20, 467,931.30 and 278,711.80

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Solution

The fourth proportional to 311,954.20, 467,931.30 and 278,711.80 is: 418,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,954.20 : 467,931.30 = 278,711.80 : x
  2. Step 2: Convert to fraction form
    311,954.20/467,931.30 = 278,711.80/x
  3. Step 3: Cross multiply
    311,954.20x = 467,931.30 × 278,711.80
  4. Step 4: Simplify right side
    311,954.20x = 130,417,974,899.34
  5. Step 5: Solve for x
    x = 130,417,974,899.34/311,954.20
  6. Step 6: Final answer
    x = 418,067.70

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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.