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Finding the Fourth Proportional to 488,348, 673,929.14 and 294,755.97

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Solution

The fourth proportional to 488,348, 673,929.14 and 294,755.97 is: 406,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,348 : 673,929.14 = 294,755.97 : x
  2. Step 2: Convert to fraction form
    488,348/673,929.14 = 294,755.97/x
  3. Step 3: Cross multiply
    488,348x = 673,929.14 × 294,755.97
  4. Step 4: Simplify right side
    488,348x = 198,644,637,371.97
  5. Step 5: Solve for x
    x = 198,644,637,371.97/488,348
  6. Step 6: Final answer
    x = 406,768.61

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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.