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Finding the Fourth Proportional to 451,987.31, 677,961.51 and 136,434.80

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Solution

The fourth proportional to 451,987.31, 677,961.51 and 136,434.80 is: 204,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,987.31 : 677,961.51 = 136,434.80 : x
  2. Step 2: Convert to fraction form
    451,987.31/677,961.51 = 136,434.80/x
  3. Step 3: Cross multiply
    451,987.31x = 677,961.51 × 136,434.80
  4. Step 4: Simplify right side
    451,987.31x = 92,497,541,161.73
  5. Step 5: Solve for x
    x = 92,497,541,161.73/451,987.31
  6. Step 6: Final answer
    x = 204,646.32

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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.