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Finding the Fourth Proportional to 321,620.22, 482,274 and 96,938.91

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Solution

The fourth proportional to 321,620.22, 482,274 and 96,938.91 is: 145,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,620.22 : 482,274 = 96,938.91 : x
  2. Step 2: Convert to fraction form
    321,620.22/482,274 = 96,938.91/x
  3. Step 3: Cross multiply
    321,620.22x = 482,274 × 96,938.91
  4. Step 4: Simplify right side
    321,620.22x = 46,751,115,881.34
  5. Step 5: Solve for x
    x = 46,751,115,881.34/321,620.22
  6. Step 6: Final answer
    x = 145,361.25

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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.