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Finding the Fourth Proportional to 419,122.50, 628,699.05 and 149,270.51

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Solution

The fourth proportional to 419,122.50, 628,699.05 and 149,270.51 is: 223,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,122.50 : 628,699.05 = 149,270.51 : x
  2. Step 2: Convert to fraction form
    419,122.50/628,699.05 = 149,270.51/x
  3. Step 3: Cross multiply
    419,122.50x = 628,699.05 × 149,270.51
  4. Step 4: Simplify right side
    419,122.50x = 93,846,229,401.76
  5. Step 5: Solve for x
    x = 93,846,229,401.76/419,122.50
  6. Step 6: Final answer
    x = 223,911.22

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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.