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Finding the Fourth Proportional to 667,408.95, 921,023.99 and 361,485.24

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Solution

The fourth proportional to 667,408.95, 921,023.99 and 361,485.24 is: 498,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,408.95 : 921,023.99 = 361,485.24 : x
  2. Step 2: Convert to fraction form
    667,408.95/921,023.99 = 361,485.24/x
  3. Step 3: Cross multiply
    667,408.95x = 921,023.99 × 361,485.24
  4. Step 4: Simplify right side
    667,408.95x = 332,936,581,657.84
  5. Step 5: Solve for x
    x = 332,936,581,657.84/667,408.95
  6. Step 6: Final answer
    x = 498,849.44

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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.