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Finding the Fourth Proportional to 819,230.40, 1,229,018.40 and 258,321.60

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Solution

The fourth proportional to 819,230.40, 1,229,018.40 and 258,321.60 is: 387,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,230.40 : 1,229,018.40 = 258,321.60 : x
  2. Step 2: Convert to fraction form
    819,230.40/1,229,018.40 = 258,321.60/x
  3. Step 3: Cross multiply
    819,230.40x = 1,229,018.40 × 258,321.60
  4. Step 4: Simplify right side
    819,230.40x = 317,481,999,517.44
  5. Step 5: Solve for x
    x = 317,481,999,517.44/819,230.40
  6. Step 6: Final answer
    x = 387,536.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.