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Finding the Fourth Proportional to 646,617.93, 969,928.71 and 225,893.80

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Solution

The fourth proportional to 646,617.93, 969,928.71 and 225,893.80 is: 338,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,617.93 : 969,928.71 = 225,893.80 : x
  2. Step 2: Convert to fraction form
    646,617.93/969,928.71 = 225,893.80/x
  3. Step 3: Cross multiply
    646,617.93x = 969,928.71 × 225,893.80
  4. Step 4: Simplify right side
    646,617.93x = 219,100,882,031.00
  5. Step 5: Solve for x
    x = 219,100,882,031.00/646,617.93
  6. Step 6: Final answer
    x = 338,841.33

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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.