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Finding the Fourth Proportional to 650,455.82, 974,992.52 and 313,286.30

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Solution

The fourth proportional to 650,455.82, 974,992.52 and 313,286.30 is: 469,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,455.82 : 974,992.52 = 313,286.30 : x
  2. Step 2: Convert to fraction form
    650,455.82/974,992.52 = 313,286.30/x
  3. Step 3: Cross multiply
    650,455.82x = 974,992.52 × 313,286.30
  4. Step 4: Simplify right side
    650,455.82x = 305,451,795,026.73
  5. Step 5: Solve for x
    x = 305,451,795,026.73/650,455.82
  6. Step 6: Final answer
    x = 469,596.53

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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.