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Finding the Fourth Proportional to 451,926.92, 677,190.18 and 285,365

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Solution

The fourth proportional to 451,926.92, 677,190.18 and 285,365 is: 427,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,926.92 : 677,190.18 = 285,365 : x
  2. Step 2: Convert to fraction form
    451,926.92/677,190.18 = 285,365/x
  3. Step 3: Cross multiply
    451,926.92x = 677,190.18 × 285,365
  4. Step 4: Simplify right side
    451,926.92x = 193,246,375,715.70
  5. Step 5: Solve for x
    x = 193,246,375,715.70/451,926.92
  6. Step 6: Final answer
    x = 427,605.37

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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.