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Finding the Fourth Proportional to 491,956.28, 678,950.70 and 301,096.76

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Solution

The fourth proportional to 491,956.28, 678,950.70 and 301,096.76 is: 415,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,956.28 : 678,950.70 = 301,096.76 : x
  2. Step 2: Convert to fraction form
    491,956.28/678,950.70 = 301,096.76/x
  3. Step 3: Cross multiply
    491,956.28x = 678,950.70 × 301,096.76
  4. Step 4: Simplify right side
    491,956.28x = 204,429,855,969.73
  5. Step 5: Solve for x
    x = 204,429,855,969.73/491,956.28
  6. Step 6: Final answer
    x = 415,544.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.