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Finding the Fourth Proportional to 320,978.81, 442,945.32 and 177,735.78

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Solution

The fourth proportional to 320,978.81, 442,945.32 and 177,735.78 is: 245,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.81 : 442,945.32 = 177,735.78 : x
  2. Step 2: Convert to fraction form
    320,978.81/442,945.32 = 177,735.78/x
  3. Step 3: Cross multiply
    320,978.81x = 442,945.32 × 177,735.78
  4. Step 4: Simplify right side
    320,978.81x = 78,727,232,028.90
  5. Step 5: Solve for x
    x = 78,727,232,028.90/320,978.81
  6. Step 6: Final answer
    x = 245,272.36

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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.