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Finding the Fourth Proportional to 491,962.82, 678,676.73 and 287,888.58

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Solution

The fourth proportional to 491,962.82, 678,676.73 and 287,888.58 is: 397,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,962.82 : 678,676.73 = 287,888.58 : x
  2. Step 2: Convert to fraction form
    491,962.82/678,676.73 = 287,888.58/x
  3. Step 3: Cross multiply
    491,962.82x = 678,676.73 × 287,888.58
  4. Step 4: Simplify right side
    491,962.82x = 195,383,278,639.30
  5. Step 5: Solve for x
    x = 195,383,278,639.30/491,962.82
  6. Step 6: Final answer
    x = 397,150.50

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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.