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Finding the Fourth Proportional to 451,825.99, 677,298.34 and 215,105.11

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Solution

The fourth proportional to 451,825.99, 677,298.34 and 215,105.11 is: 322,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,825.99 : 677,298.34 = 215,105.11 : x
  2. Step 2: Convert to fraction form
    451,825.99/677,298.34 = 215,105.11/x
  3. Step 3: Cross multiply
    451,825.99x = 677,298.34 × 215,105.11
  4. Step 4: Simplify right side
    451,825.99x = 145,690,333,928.52
  5. Step 5: Solve for x
    x = 145,690,333,928.52/451,825.99
  6. Step 6: Final answer
    x = 322,447.88

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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.