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Finding the Fourth Proportional to 352,443, 486,150.04 and 209,101.56

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Solution

The fourth proportional to 352,443, 486,150.04 and 209,101.56 is: 288,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,443 : 486,150.04 = 209,101.56 : x
  2. Step 2: Convert to fraction form
    352,443/486,150.04 = 209,101.56/x
  3. Step 3: Cross multiply
    352,443x = 486,150.04 × 209,101.56
  4. Step 4: Simplify right side
    352,443x = 101,654,731,758.06
  5. Step 5: Solve for x
    x = 101,654,731,758.06/352,443
  6. Step 6: Final answer
    x = 288,428.86

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1.5x scale

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.