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Finding the Fourth Proportional to 219,086, 328,630.08 and 52,874

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Solution

The fourth proportional to 219,086, 328,630.08 and 52,874 is: 79,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,086 : 328,630.08 = 52,874 : x
  2. Step 2: Convert to fraction form
    219,086/328,630.08 = 52,874/x
  3. Step 3: Cross multiply
    219,086x = 328,630.08 × 52,874
  4. Step 4: Simplify right side
    219,086x = 17,375,986,849.92
  5. Step 5: Solve for x
    x = 17,375,986,849.92/219,086
  6. Step 6: Final answer
    x = 79,311.26

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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.