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Finding the Fourth Proportional to 320,796.88, 442,694.32 and 177,553.86

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Solution

The fourth proportional to 320,796.88, 442,694.32 and 177,553.86 is: 245,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,796.88 : 442,694.32 = 177,553.86 : x
  2. Step 2: Convert to fraction form
    320,796.88/442,694.32 = 177,553.86/x
  3. Step 3: Cross multiply
    320,796.88x = 442,694.32 × 177,553.86
  4. Step 4: Simplify right side
    320,796.88x = 78,602,085,316.08
  5. Step 5: Solve for x
    x = 78,602,085,316.08/320,796.88
  6. Step 6: Final answer
    x = 245,021.35

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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.