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Finding the Fourth Proportional to 382,239, 573,363.36 and 132,921

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Solution

The fourth proportional to 382,239, 573,363.36 and 132,921 is: 199,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,239 : 573,363.36 = 132,921 : x
  2. Step 2: Convert to fraction form
    382,239/573,363.36 = 132,921/x
  3. Step 3: Cross multiply
    382,239x = 573,363.36 × 132,921
  4. Step 4: Simplify right side
    382,239x = 76,212,031,174.56
  5. Step 5: Solve for x
    x = 76,212,031,174.56/382,239
  6. Step 6: Final answer
    x = 199,383.19

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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.