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Finding the Fourth Proportional to 352,894.39, 486,978.14 and 199,929.47

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Solution

The fourth proportional to 352,894.39, 486,978.14 and 199,929.47 is: 275,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,894.39 : 486,978.14 = 199,929.47 : x
  2. Step 2: Convert to fraction form
    352,894.39/486,978.14 = 199,929.47/x
  3. Step 3: Cross multiply
    352,894.39x = 486,978.14 × 199,929.47
  4. Step 4: Simplify right side
    352,894.39x = 97,361,279,496.72
  5. Step 5: Solve for x
    x = 97,361,279,496.72/352,894.39
  6. Step 6: Final answer
    x = 275,893.53

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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.