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Finding the Fourth Proportional to 382,234.84, 570,127.20 and 331,919.26

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Solution

The fourth proportional to 382,234.84, 570,127.20 and 331,919.26 is: 495,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,234.84 : 570,127.20 = 331,919.26 : x
  2. Step 2: Convert to fraction form
    382,234.84/570,127.20 = 331,919.26/x
  3. Step 3: Cross multiply
    382,234.84x = 570,127.20 × 331,919.26
  4. Step 4: Simplify right side
    382,234.84x = 189,236,198,329.87
  5. Step 5: Solve for x
    x = 189,236,198,329.87/382,234.84
  6. Step 6: Final answer
    x = 495,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.