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Finding the Fourth Proportional to 321,839.81, 482,802.09 and 119,408.36

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Solution

The fourth proportional to 321,839.81, 482,802.09 and 119,408.36 is: 179,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,839.81 : 482,802.09 = 119,408.36 : x
  2. Step 2: Convert to fraction form
    321,839.81/482,802.09 = 119,408.36/x
  3. Step 3: Cross multiply
    321,839.81x = 482,802.09 × 119,408.36
  4. Step 4: Simplify right side
    321,839.81x = 57,650,605,771.47
  5. Step 5: Solve for x
    x = 57,650,605,771.47/321,839.81
  6. Step 6: Final answer
    x = 179,128.26

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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.