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Finding the Fourth Proportional to 447,716.97, 617,835.20 and 266,387.40

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Solution

The fourth proportional to 447,716.97, 617,835.20 and 266,387.40 is: 367,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,716.97 : 617,835.20 = 266,387.40 : x
  2. Step 2: Convert to fraction form
    447,716.97/617,835.20 = 266,387.40/x
  3. Step 3: Cross multiply
    447,716.97x = 617,835.20 × 266,387.40
  4. Step 4: Simplify right side
    447,716.97x = 164,583,511,224.54
  5. Step 5: Solve for x
    x = 164,583,511,224.54/447,716.97
  6. Step 6: Final answer
    x = 367,606.15

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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.