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Finding the Fourth Proportional to 401,450, 602,408.28 and 179,834

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Solution

The fourth proportional to 401,450, 602,408.28 and 179,834 is: 269,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,450 : 602,408.28 = 179,834 : x
  2. Step 2: Convert to fraction form
    401,450/602,408.28 = 179,834/x
  3. Step 3: Cross multiply
    401,450x = 602,408.28 × 179,834
  4. Step 4: Simplify right side
    401,450x = 108,333,490,625.52
  5. Step 5: Solve for x
    x = 108,333,490,625.52/401,450
  6. Step 6: Final answer
    x = 269,855.50

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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.