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Finding the Fourth Proportional to 491,186.31, 677,588.98 and 287,103.88

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Solution

The fourth proportional to 491,186.31, 677,588.98 and 287,103.88 is: 396,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,186.31 : 677,588.98 = 287,103.88 : x
  2. Step 2: Convert to fraction form
    491,186.31/677,588.98 = 287,103.88/x
  3. Step 3: Cross multiply
    491,186.31x = 677,588.98 × 287,103.88
  4. Step 4: Simplify right side
    491,186.31x = 194,538,425,203.24
  5. Step 5: Solve for x
    x = 194,538,425,203.24/491,186.31
  6. Step 6: Final answer
    x = 396,058.32

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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.