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Finding the Fourth Proportional to 413,199.72, 620,131.74 and 213,578.64

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Solution

The fourth proportional to 413,199.72, 620,131.74 and 213,578.64 is: 320,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,199.72 : 620,131.74 = 213,578.64 : x
  2. Step 2: Convert to fraction form
    413,199.72/620,131.74 = 213,578.64/x
  3. Step 3: Cross multiply
    413,199.72x = 620,131.74 × 213,578.64
  4. Step 4: Simplify right side
    413,199.72x = 132,446,893,650.03
  5. Step 5: Solve for x
    x = 132,446,893,650.03/413,199.72
  6. Step 6: Final answer
    x = 320,539.65

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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.