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Finding the Fourth Proportional to 320,906.56, 442,848.72 and 193,652.32

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Solution

The fourth proportional to 320,906.56, 442,848.72 and 193,652.32 is: 267,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,906.56 : 442,848.72 = 193,652.32 : x
  2. Step 2: Convert to fraction form
    320,906.56/442,848.72 = 193,652.32/x
  3. Step 3: Cross multiply
    320,906.56x = 442,848.72 × 193,652.32
  4. Step 4: Simplify right side
    320,906.56x = 85,758,682,037.03
  5. Step 5: Solve for x
    x = 85,758,682,037.03/320,906.56
  6. Step 6: Final answer
    x = 267,238.79

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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.