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Finding the Fourth Proportional to 320,608, 442,459.52 and 179,296

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Solution

The fourth proportional to 320,608, 442,459.52 and 179,296 is: 247,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,608 : 442,459.52 = 179,296 : x
  2. Step 2: Convert to fraction form
    320,608/442,459.52 = 179,296/x
  3. Step 3: Cross multiply
    320,608x = 442,459.52 × 179,296
  4. Step 4: Simplify right side
    320,608x = 79,331,222,097.92
  5. Step 5: Solve for x
    x = 79,331,222,097.92/320,608
  6. Step 6: Final answer
    x = 247,439.93

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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.