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Finding the Fourth Proportional to 451,954.86, 677,666.49 and 171,491.82

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Solution

The fourth proportional to 451,954.86, 677,666.49 and 171,491.82 is: 257,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,954.86 : 677,666.49 = 171,491.82 : x
  2. Step 2: Convert to fraction form
    451,954.86/677,666.49 = 171,491.82/x
  3. Step 3: Cross multiply
    451,954.86x = 677,666.49 × 171,491.82
  4. Step 4: Simplify right side
    451,954.86x = 116,214,259,723.11
  5. Step 5: Solve for x
    x = 116,214,259,723.11/451,954.86
  6. Step 6: Final answer
    x = 257,136.87

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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.