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Finding the Fourth Proportional to 352,638.53, 486,765.33 and 209,397.56

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Solution

The fourth proportional to 352,638.53, 486,765.33 and 209,397.56 is: 289,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,638.53 : 486,765.33 = 209,397.56 : x
  2. Step 2: Convert to fraction form
    352,638.53/486,765.33 = 209,397.56/x
  3. Step 3: Cross multiply
    352,638.53x = 486,765.33 × 209,397.56
  4. Step 4: Simplify right side
    352,638.53x = 101,927,469,960.77
  5. Step 5: Solve for x
    x = 101,927,469,960.77/352,638.53
  6. Step 6: Final answer
    x = 289,042.36

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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.