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Finding the Fourth Proportional to 408,771.44, 563,519.96 and 287,536.46

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Solution

The fourth proportional to 408,771.44, 563,519.96 and 287,536.46 is: 396,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,771.44 : 563,519.96 = 287,536.46 : x
  2. Step 2: Convert to fraction form
    408,771.44/563,519.96 = 287,536.46/x
  3. Step 3: Cross multiply
    408,771.44x = 563,519.96 × 287,536.46
  4. Step 4: Simplify right side
    408,771.44x = 162,032,534,452.18
  5. Step 5: Solve for x
    x = 162,032,534,452.18/408,771.44
  6. Step 6: Final answer
    x = 396,389.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.