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Finding the Fourth Proportional to 320,979, 442,945.58 and 177,735.96

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Solution

The fourth proportional to 320,979, 442,945.58 and 177,735.96 is: 245,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,979 : 442,945.58 = 177,735.96 : x
  2. Step 2: Convert to fraction form
    320,979/442,945.58 = 177,735.96/x
  3. Step 3: Cross multiply
    320,979x = 442,945.58 × 177,735.96
  4. Step 4: Simplify right side
    320,979x = 78,727,357,889.06
  5. Step 5: Solve for x
    x = 78,727,357,889.06/320,979
  6. Step 6: Final answer
    x = 245,272.61

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1.5x scale

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.