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Finding the Fourth Proportional to 419,262.90, 628,930.80 and 134,982.06

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Solution

The fourth proportional to 419,262.90, 628,930.80 and 134,982.06 is: 202,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,262.90 : 628,930.80 = 134,982.06 : x
  2. Step 2: Convert to fraction form
    419,262.90/628,930.80 = 134,982.06/x
  3. Step 3: Cross multiply
    419,262.90x = 628,930.80 × 134,982.06
  4. Step 4: Simplify right side
    419,262.90x = 84,894,374,981.45
  5. Step 5: Solve for x
    x = 84,894,374,981.45/419,262.90
  6. Step 6: Final answer
    x = 202,484.83

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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.