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Finding the Fourth Proportional to 352,230, 528,016.30 and 138,999.68

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Solution

The fourth proportional to 352,230, 528,016.30 and 138,999.68 is: 208,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,230 : 528,016.30 = 138,999.68 : x
  2. Step 2: Convert to fraction form
    352,230/528,016.30 = 138,999.68/x
  3. Step 3: Cross multiply
    352,230x = 528,016.30 × 138,999.68
  4. Step 4: Simplify right side
    352,230x = 73,394,096,734.78
  5. Step 5: Solve for x
    x = 73,394,096,734.78/352,230
  6. Step 6: Final answer
    x = 208,369.81

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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.