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Finding the Fourth Proportional to 298,514.85, 447,305.71 and 172,232.61

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Solution

The fourth proportional to 298,514.85, 447,305.71 and 172,232.61 is: 258,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,514.85 : 447,305.71 = 172,232.61 : x
  2. Step 2: Convert to fraction form
    298,514.85/447,305.71 = 172,232.61/x
  3. Step 3: Cross multiply
    298,514.85x = 447,305.71 × 172,232.61
  4. Step 4: Simplify right side
    298,514.85x = 77,040,629,901.20
  5. Step 5: Solve for x
    x = 77,040,629,901.20/298,514.85
  6. Step 6: Final answer
    x = 258,079.72

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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.