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Finding the Fourth Proportional to 320,999.61, 442,979.06 and 177,759.48

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Solution

The fourth proportional to 320,999.61, 442,979.06 and 177,759.48 is: 245,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,999.61 : 442,979.06 = 177,759.48 : x
  2. Step 2: Convert to fraction form
    320,999.61/442,979.06 = 177,759.48/x
  3. Step 3: Cross multiply
    320,999.61x = 442,979.06 × 177,759.48
  4. Step 4: Simplify right side
    320,999.61x = 78,743,726,026.84
  5. Step 5: Solve for x
    x = 78,743,726,026.84/320,999.61
  6. Step 6: Final answer
    x = 245,307.86

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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.