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Finding the Fourth Proportional to 320,591.92, 442,433 and 193,308.56

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Solution

The fourth proportional to 320,591.92, 442,433 and 193,308.56 is: 266,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,591.92 : 442,433 = 193,308.56 : x
  2. Step 2: Convert to fraction form
    320,591.92/442,433 = 193,308.56/x
  3. Step 3: Cross multiply
    320,591.92x = 442,433 × 193,308.56
  4. Step 4: Simplify right side
    320,591.92x = 85,526,086,126.48
  5. Step 5: Solve for x
    x = 85,526,086,126.48/320,591.92
  6. Step 6: Final answer
    x = 266,775.55

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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.