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Finding the Fourth Proportional to 320,213.36, 480,329.76 and 109,848.24

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Solution

The fourth proportional to 320,213.36, 480,329.76 and 109,848.24 is: 164,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,213.36 : 480,329.76 = 109,848.24 : x
  2. Step 2: Convert to fraction form
    320,213.36/480,329.76 = 109,848.24/x
  3. Step 3: Cross multiply
    320,213.36x = 480,329.76 × 109,848.24
  4. Step 4: Simplify right side
    320,213.36x = 52,763,378,755.62
  5. Step 5: Solve for x
    x = 52,763,378,755.62/320,213.36
  6. Step 6: Final answer
    x = 164,775.69

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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.