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Finding the Fourth Proportional to 482,531.92, 666,239.16 and 321,766

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Solution

The fourth proportional to 482,531.92, 666,239.16 and 321,766 is: 444,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,531.92 : 666,239.16 = 321,766 : x
  2. Step 2: Convert to fraction form
    482,531.92/666,239.16 = 321,766/x
  3. Step 3: Cross multiply
    482,531.92x = 666,239.16 × 321,766
  4. Step 4: Simplify right side
    482,531.92x = 214,373,109,556.56
  5. Step 5: Solve for x
    x = 214,373,109,556.56/482,531.92
  6. Step 6: Final answer
    x = 444,267.21

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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.