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Finding the Fourth Proportional to 455,115.78, 681,923.50 and 408,185.24

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Solution

The fourth proportional to 455,115.78, 681,923.50 and 408,185.24 is: 611,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,115.78 : 681,923.50 = 408,185.24 : x
  2. Step 2: Convert to fraction form
    455,115.78/681,923.50 = 408,185.24/x
  3. Step 3: Cross multiply
    455,115.78x = 681,923.50 × 408,185.24
  4. Step 4: Simplify right side
    455,115.78x = 278,351,107,558.94
  5. Step 5: Solve for x
    x = 278,351,107,558.94/455,115.78
  6. Step 6: Final answer
    x = 611,605.04

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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.