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Finding the Fourth Proportional to 427,733.80, 640,218.30 and 333,730.60

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Solution

The fourth proportional to 427,733.80, 640,218.30 and 333,730.60 is: 499,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,733.80 : 640,218.30 = 333,730.60 : x
  2. Step 2: Convert to fraction form
    427,733.80/640,218.30 = 333,730.60/x
  3. Step 3: Cross multiply
    427,733.80x = 640,218.30 × 333,730.60
  4. Step 4: Simplify right side
    427,733.80x = 213,660,437,389.98
  5. Step 5: Solve for x
    x = 213,660,437,389.98/427,733.80
  6. Step 6: Final answer
    x = 499,517.31

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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.