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Finding the Fourth Proportional to 305,425.58, 458,028.61 and 105,691.73

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Solution

The fourth proportional to 305,425.58, 458,028.61 and 105,691.73 is: 158,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,425.58 : 458,028.61 = 105,691.73 : x
  2. Step 2: Convert to fraction form
    305,425.58/458,028.61 = 105,691.73/x
  3. Step 3: Cross multiply
    305,425.58x = 458,028.61 × 105,691.73
  4. Step 4: Simplify right side
    305,425.58x = 48,409,833,626.02
  5. Step 5: Solve for x
    x = 48,409,833,626.02/305,425.58
  6. Step 6: Final answer
    x = 158,499.61

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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.