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Finding the Fourth Proportional to 726,907, 1,003,109.28 and 404,608.80

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Solution

The fourth proportional to 726,907, 1,003,109.28 and 404,608.80 is: 558,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,907 : 1,003,109.28 = 404,608.80 : x
  2. Step 2: Convert to fraction form
    726,907/1,003,109.28 = 404,608.80/x
  3. Step 3: Cross multiply
    726,907x = 1,003,109.28 × 404,608.80
  4. Step 4: Simplify right side
    726,907x = 405,866,842,049.66
  5. Step 5: Solve for x
    x = 405,866,842,049.66/726,907
  6. Step 6: Final answer
    x = 558,347.69

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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.