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Finding the Fourth Proportional to 413,614.08, 620,605.44 and 216,576

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Solution

The fourth proportional to 413,614.08, 620,605.44 and 216,576 is: 324,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,614.08 : 620,605.44 = 216,576 : x
  2. Step 2: Convert to fraction form
    413,614.08/620,605.44 = 216,576/x
  3. Step 3: Cross multiply
    413,614.08x = 620,605.44 × 216,576
  4. Step 4: Simplify right side
    413,614.08x = 134,408,243,773.44
  5. Step 5: Solve for x
    x = 134,408,243,773.44/413,614.08
  6. Step 6: Final answer
    x = 324,960.51

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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.