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Finding the Fourth Proportional to 726,906, 1,003,107.90 and 404,607.80

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Solution

The fourth proportional to 726,906, 1,003,107.90 and 404,607.80 is: 558,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,906 : 1,003,107.90 = 404,607.80 : x
  2. Step 2: Convert to fraction form
    726,906/1,003,107.90 = 404,607.80/x
  3. Step 3: Cross multiply
    726,906x = 1,003,107.90 × 404,607.80
  4. Step 4: Simplify right side
    726,906x = 405,865,280,581.62
  5. Step 5: Solve for x
    x = 405,865,280,581.62/726,906
  6. Step 6: Final answer
    x = 558,346.31

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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.