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Finding the Fourth Proportional to 447,786.22, 617,960.26 and 243,840.64

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Solution

The fourth proportional to 447,786.22, 617,960.26 and 243,840.64 is: 336,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,786.22 : 617,960.26 = 243,840.64 : x
  2. Step 2: Convert to fraction form
    447,786.22/617,960.26 = 243,840.64/x
  3. Step 3: Cross multiply
    447,786.22x = 617,960.26 × 243,840.64
  4. Step 4: Simplify right side
    447,786.22x = 150,683,825,292.97
  5. Step 5: Solve for x
    x = 150,683,825,292.97/447,786.22
  6. Step 6: Final answer
    x = 336,508.40

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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.