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Finding the Fourth Proportional to 305,610.76, 458,419.30 and 92,380.44

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Solution

The fourth proportional to 305,610.76, 458,419.30 and 92,380.44 is: 138,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,610.76 : 458,419.30 = 92,380.44 : x
  2. Step 2: Convert to fraction form
    305,610.76/458,419.30 = 92,380.44/x
  3. Step 3: Cross multiply
    305,610.76x = 458,419.30 × 92,380.44
  4. Step 4: Simplify right side
    305,610.76x = 42,348,976,638.49
  5. Step 5: Solve for x
    x = 42,348,976,638.49/305,610.76
  6. Step 6: Final answer
    x = 138,571.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.