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Finding the Fourth Proportional to 427,716.80, 640,192.80 and 333,713.60

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Solution

The fourth proportional to 427,716.80, 640,192.80 and 333,713.60 is: 499,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,716.80 : 640,192.80 = 333,713.60 : x
  2. Step 2: Convert to fraction form
    427,716.80/640,192.80 = 333,713.60/x
  3. Step 3: Cross multiply
    427,716.80x = 640,192.80 × 333,713.60
  4. Step 4: Simplify right side
    427,716.80x = 213,641,043,982.08
  5. Step 5: Solve for x
    x = 213,641,043,982.08/427,716.80
  6. Step 6: Final answer
    x = 499,491.82

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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.