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Finding the Fourth Proportional to 643,672.80, 965,854.80 and 269,733.60

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Solution

The fourth proportional to 643,672.80, 965,854.80 and 269,733.60 is: 404,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,672.80 : 965,854.80 = 269,733.60 : x
  2. Step 2: Convert to fraction form
    643,672.80/965,854.80 = 269,733.60/x
  3. Step 3: Cross multiply
    643,672.80x = 965,854.80 × 269,733.60
  4. Step 4: Simplify right side
    643,672.80x = 260,523,492,281.28
  5. Step 5: Solve for x
    x = 260,523,492,281.28/643,672.80
  6. Step 6: Final answer
    x = 404,745.23

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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.