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Finding the Fourth Proportional to 419,227.54, 628,841.50 and 134,918.06

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Solution

The fourth proportional to 419,227.54, 628,841.50 and 134,918.06 is: 202,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,227.54 : 628,841.50 = 134,918.06 : x
  2. Step 2: Convert to fraction form
    419,227.54/628,841.50 = 134,918.06/x
  3. Step 3: Cross multiply
    419,227.54x = 628,841.50 × 134,918.06
  4. Step 4: Simplify right side
    419,227.54x = 84,842,072,125.44
  5. Step 5: Solve for x
    x = 84,842,072,125.44/419,227.54
  6. Step 6: Final answer
    x = 202,377.15

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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.