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Finding the Fourth Proportional to 441,857.91, 661,867.29 and 281,137.71

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Solution

The fourth proportional to 441,857.91, 661,867.29 and 281,137.71 is: 421,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,857.91 : 661,867.29 = 281,137.71 : x
  2. Step 2: Convert to fraction form
    441,857.91/661,867.29 = 281,137.71/x
  3. Step 3: Cross multiply
    441,857.91x = 661,867.29 × 281,137.71
  4. Step 4: Simplify right side
    441,857.91x = 186,075,856,716.51
  5. Step 5: Solve for x
    x = 186,075,856,716.51/441,857.91
  6. Step 6: Final answer
    x = 421,121.48

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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.