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Finding the Fourth Proportional to 419,388.30, 628,460.36 and 308,035.98

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Solution

The fourth proportional to 419,388.30, 628,460.36 and 308,035.98 is: 461,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,388.30 : 628,460.36 = 308,035.98 : x
  2. Step 2: Convert to fraction form
    419,388.30/628,460.36 = 308,035.98/x
  3. Step 3: Cross multiply
    419,388.30x = 628,460.36 × 308,035.98
  4. Step 4: Simplify right side
    419,388.30x = 193,588,401,343.57
  5. Step 5: Solve for x
    x = 193,588,401,343.57/419,388.30
  6. Step 6: Final answer
    x = 461,597.05

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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.