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Finding the Fourth Proportional to 320,955.44, 442,882.74 and 177,679.60

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Solution

The fourth proportional to 320,955.44, 442,882.74 and 177,679.60 is: 245,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,955.44 : 442,882.74 = 177,679.60 : x
  2. Step 2: Convert to fraction form
    320,955.44/442,882.74 = 177,679.60/x
  3. Step 3: Cross multiply
    320,955.44x = 442,882.74 × 177,679.60
  4. Step 4: Simplify right side
    320,955.44x = 78,691,228,090.10
  5. Step 5: Solve for x
    x = 78,691,228,090.10/320,955.44
  6. Step 6: Final answer
    x = 245,178.05

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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.