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Finding the Fourth Proportional to 726,903, 1,003,103.76 and 404,604.80

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Solution

The fourth proportional to 726,903, 1,003,103.76 and 404,604.80 is: 558,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,903 : 1,003,103.76 = 404,604.80 : x
  2. Step 2: Convert to fraction form
    726,903/1,003,103.76 = 404,604.80/x
  3. Step 3: Cross multiply
    726,903x = 1,003,103.76 × 404,604.80
  4. Step 4: Simplify right side
    726,903x = 405,860,596,194.05
  5. Step 5: Solve for x
    x = 405,860,596,194.05/726,903
  6. Step 6: Final answer
    x = 558,342.17

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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.