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Finding the Fourth Proportional to 320,493.60, 442,273.61 and 177,250.56

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Solution

The fourth proportional to 320,493.60, 442,273.61 and 177,250.56 is: 244,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.60 : 442,273.61 = 177,250.56 : x
  2. Step 2: Convert to fraction form
    320,493.60/442,273.61 = 177,250.56/x
  3. Step 3: Cross multiply
    320,493.60x = 442,273.61 × 177,250.56
  4. Step 4: Simplify right side
    320,493.60x = 78,393,244,159.47
  5. Step 5: Solve for x
    x = 78,393,244,159.47/320,493.60
  6. Step 6: Final answer
    x = 244,601.59

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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.