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Finding the Fourth Proportional to 802,440, 1,107,367.20 and 444,744

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Solution

The fourth proportional to 802,440, 1,107,367.20 and 444,744 is: 613,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,440 : 1,107,367.20 = 444,744 : x
  2. Step 2: Convert to fraction form
    802,440/1,107,367.20 = 444,744/x
  3. Step 3: Cross multiply
    802,440x = 1,107,367.20 × 444,744
  4. Step 4: Simplify right side
    802,440x = 492,494,917,996.80
  5. Step 5: Solve for x
    x = 492,494,917,996.80/802,440
  6. Step 6: Final answer
    x = 613,746.72

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Why These Related Problems?

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