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Finding the Fourth Proportional to 320,496.69, 480,351.36 and 179,960.07

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Solution

The fourth proportional to 320,496.69, 480,351.36 and 179,960.07 is: 269,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496.69 : 480,351.36 = 179,960.07 : x
  2. Step 2: Convert to fraction form
    320,496.69/480,351.36 = 179,960.07/x
  3. Step 3: Cross multiply
    320,496.69x = 480,351.36 × 179,960.07
  4. Step 4: Simplify right side
    320,496.69x = 86,444,064,370.20
  5. Step 5: Solve for x
    x = 86,444,064,370.20/320,496.69
  6. Step 6: Final answer
    x = 269,719.06

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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.