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Finding the Fourth Proportional to 447,708.82, 617,806.95 and 254,120.49

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Solution

The fourth proportional to 447,708.82, 617,806.95 and 254,120.49 is: 350,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,708.82 : 617,806.95 = 254,120.49 : x
  2. Step 2: Convert to fraction form
    447,708.82/617,806.95 = 254,120.49/x
  3. Step 3: Cross multiply
    447,708.82x = 617,806.95 × 254,120.49
  4. Step 4: Simplify right side
    447,708.82x = 156,997,403,906.45
  5. Step 5: Solve for x
    x = 156,997,403,906.45/447,708.82
  6. Step 6: Final answer
    x = 350,668.55

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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.