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Finding the Fourth Proportional to 403,514.70, 605,046.05 and 187,141.43

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Solution

The fourth proportional to 403,514.70, 605,046.05 and 187,141.43 is: 280,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,514.70 : 605,046.05 = 187,141.43 : x
  2. Step 2: Convert to fraction form
    403,514.70/605,046.05 = 187,141.43/x
  3. Step 3: Cross multiply
    403,514.70x = 605,046.05 × 187,141.43
  4. Step 4: Simplify right side
    403,514.70x = 113,229,179,987.62
  5. Step 5: Solve for x
    x = 113,229,179,987.62/403,514.70
  6. Step 6: Final answer
    x = 280,607.32

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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.