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Finding the Fourth Proportional to 447,468.06, 617,734.44 and 345,263.88

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Solution

The fourth proportional to 447,468.06, 617,734.44 and 345,263.88 is: 476,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,468.06 : 617,734.44 = 345,263.88 : x
  2. Step 2: Convert to fraction form
    447,468.06/617,734.44 = 345,263.88/x
  3. Step 3: Cross multiply
    447,468.06x = 617,734.44 × 345,263.88
  4. Step 4: Simplify right side
    447,468.06x = 213,281,389,564.03
  5. Step 5: Solve for x
    x = 213,281,389,564.03/447,468.06
  6. Step 6: Final answer
    x = 476,640.48

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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.