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Finding the Fourth Proportional to 305,642.98, 458,414.16 and 81,017.38

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Solution

The fourth proportional to 305,642.98, 458,414.16 and 81,017.38 is: 121,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,642.98 : 458,414.16 = 81,017.38 : x
  2. Step 2: Convert to fraction form
    305,642.98/458,414.16 = 81,017.38/x
  3. Step 3: Cross multiply
    305,642.98x = 458,414.16 × 81,017.38
  4. Step 4: Simplify right side
    305,642.98x = 37,139,514,198.10
  5. Step 5: Solve for x
    x = 37,139,514,198.10/305,642.98
  6. Step 6: Final answer
    x = 121,512.73

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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.