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Finding the Fourth Proportional to 320,906.56, 442,844.16 and 177,658.24

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Solution

The fourth proportional to 320,906.56, 442,844.16 and 177,658.24 is: 245,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,906.56 : 442,844.16 = 177,658.24 : x
  2. Step 2: Convert to fraction form
    320,906.56/442,844.16 = 177,658.24/x
  3. Step 3: Cross multiply
    320,906.56x = 442,844.16 × 177,658.24
  4. Step 4: Simplify right side
    320,906.56x = 78,674,914,059.88
  5. Step 5: Solve for x
    x = 78,674,914,059.88/320,906.56
  6. Step 6: Final answer
    x = 245,164.56

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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.