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Finding the Fourth Proportional to 802,443, 1,107,371.34 and 444,747

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Solution

The fourth proportional to 802,443, 1,107,371.34 and 444,747 is: 613,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,443 : 1,107,371.34 = 444,747 : x
  2. Step 2: Convert to fraction form
    802,443/1,107,371.34 = 444,747/x
  3. Step 3: Cross multiply
    802,443x = 1,107,371.34 × 444,747
  4. Step 4: Simplify right side
    802,443x = 492,500,081,350.98
  5. Step 5: Solve for x
    x = 492,500,081,350.98/802,443
  6. Step 6: Final answer
    x = 613,750.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.