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Finding the Fourth Proportional to 481,138.64, 721,704.72 and 376,046

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Solution

The fourth proportional to 481,138.64, 721,704.72 and 376,046 is: 564,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,138.64 : 721,704.72 = 376,046 : x
  2. Step 2: Convert to fraction form
    481,138.64/721,704.72 = 376,046/x
  3. Step 3: Cross multiply
    481,138.64x = 721,704.72 × 376,046
  4. Step 4: Simplify right side
    481,138.64x = 271,394,173,137.12
  5. Step 5: Solve for x
    x = 271,394,173,137.12/481,138.64
  6. Step 6: Final answer
    x = 564,066.47

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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.