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Finding the Fourth Proportional to 491,704.62, 678,573.31 and 273,913.04

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Solution

The fourth proportional to 491,704.62, 678,573.31 and 273,913.04 is: 378,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,704.62 : 678,573.31 = 273,913.04 : x
  2. Step 2: Convert to fraction form
    491,704.62/678,573.31 = 273,913.04/x
  3. Step 3: Cross multiply
    491,704.62x = 678,573.31 × 273,913.04
  4. Step 4: Simplify right side
    491,704.62x = 185,870,073,442.53
  5. Step 5: Solve for x
    x = 185,870,073,442.53/491,704.62
  6. Step 6: Final answer
    x = 378,011.65

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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.