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Finding the Fourth Proportional to 482,193.90, 664,659.09 and 380,061

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Solution

The fourth proportional to 482,193.90, 664,659.09 and 380,061 is: 523,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,193.90 : 664,659.09 = 380,061 : x
  2. Step 2: Convert to fraction form
    482,193.90/664,659.09 = 380,061/x
  3. Step 3: Cross multiply
    482,193.90x = 664,659.09 × 380,061
  4. Step 4: Simplify right side
    482,193.90x = 252,610,998,404.49
  5. Step 5: Solve for x
    x = 252,610,998,404.49/482,193.90
  6. Step 6: Final answer
    x = 523,878.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.