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Finding the Fourth Proportional to 418,971.96, 628,556.38 and 138,489.22

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Solution

The fourth proportional to 418,971.96, 628,556.38 and 138,489.22 is: 207,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,971.96 : 628,556.38 = 138,489.22 : x
  2. Step 2: Convert to fraction form
    418,971.96/628,556.38 = 138,489.22/x
  3. Step 3: Cross multiply
    418,971.96x = 628,556.38 × 138,489.22
  4. Step 4: Simplify right side
    418,971.96x = 87,048,282,792.22
  5. Step 5: Solve for x
    x = 87,048,282,792.22/418,971.96
  6. Step 6: Final answer
    x = 207,766.37

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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.