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Finding the Fourth Proportional to 646,625.94, 969,940.71 and 225,901.80

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Solution

The fourth proportional to 646,625.94, 969,940.71 and 225,901.80 is: 338,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,625.94 : 969,940.71 = 225,901.80 : x
  2. Step 2: Convert to fraction form
    646,625.94/969,940.71 = 225,901.80/x
  3. Step 3: Cross multiply
    646,625.94x = 969,940.71 × 225,901.80
  4. Step 4: Simplify right side
    646,625.94x = 219,111,352,282.28
  5. Step 5: Solve for x
    x = 219,111,352,282.28/646,625.94
  6. Step 6: Final answer
    x = 338,853.33

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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.