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Finding the Fourth Proportional to 352,896, 486,996.48 and 193,920

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Solution

The fourth proportional to 352,896, 486,996.48 and 193,920 is: 267,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,896 : 486,996.48 = 193,920 : x
  2. Step 2: Convert to fraction form
    352,896/486,996.48 = 193,920/x
  3. Step 3: Cross multiply
    352,896x = 486,996.48 × 193,920
  4. Step 4: Simplify right side
    352,896x = 94,438,357,401.60
  5. Step 5: Solve for x
    x = 94,438,357,401.60/352,896
  6. Step 6: Final answer
    x = 267,609.60

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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.