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Finding the Fourth Proportional to 384,029.80, 576,044.70 and 218,141.80

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Solution

The fourth proportional to 384,029.80, 576,044.70 and 218,141.80 is: 327,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,029.80 : 576,044.70 = 218,141.80 : x
  2. Step 2: Convert to fraction form
    384,029.80/576,044.70 = 218,141.80/x
  3. Step 3: Cross multiply
    384,029.80x = 576,044.70 × 218,141.80
  4. Step 4: Simplify right side
    384,029.80x = 125,659,427,738.46
  5. Step 5: Solve for x
    x = 125,659,427,738.46/384,029.80
  6. Step 6: Final answer
    x = 327,212.70

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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.