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Finding the Fourth Proportional to 641,405.84, 961,953.24 and 267,224.72

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Solution

The fourth proportional to 641,405.84, 961,953.24 and 267,224.72 is: 400,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,405.84 : 961,953.24 = 267,224.72 : x
  2. Step 2: Convert to fraction form
    641,405.84/961,953.24 = 267,224.72/x
  3. Step 3: Cross multiply
    641,405.84x = 961,953.24 × 267,224.72
  4. Step 4: Simplify right side
    641,405.84x = 257,057,685,212.09
  5. Step 5: Solve for x
    x = 257,057,685,212.09/641,405.84
  6. Step 6: Final answer
    x = 400,772.29

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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.