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Finding the Fourth Proportional to 318,402.36, 439,212.78 and 198,963

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Solution

The fourth proportional to 318,402.36, 439,212.78 and 198,963 is: 274,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,402.36 : 439,212.78 = 198,963 : x
  2. Step 2: Convert to fraction form
    318,402.36/439,212.78 = 198,963/x
  3. Step 3: Cross multiply
    318,402.36x = 439,212.78 × 198,963
  4. Step 4: Simplify right side
    318,402.36x = 87,387,092,347.14
  5. Step 5: Solve for x
    x = 87,387,092,347.14/318,402.36
  6. Step 6: Final answer
    x = 274,454.91

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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.