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Finding the Fourth Proportional to 647,813.20, 970,806.39 and 305,891.81

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Solution

The fourth proportional to 647,813.20, 970,806.39 and 305,891.81 is: 458,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,813.20 : 970,806.39 = 305,891.81 : x
  2. Step 2: Convert to fraction form
    647,813.20/970,806.39 = 305,891.81/x
  3. Step 3: Cross multiply
    647,813.20x = 970,806.39 × 305,891.81
  4. Step 4: Simplify right side
    647,813.20x = 296,961,721,436.06
  5. Step 5: Solve for x
    x = 296,961,721,436.06/647,813.20
  6. Step 6: Final answer
    x = 458,406.41

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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.