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Finding the Fourth Proportional to 419,404.50, 628,484.46 and 308,052.18

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Solution

The fourth proportional to 419,404.50, 628,484.46 and 308,052.18 is: 461,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,404.50 : 628,484.46 = 308,052.18 : x
  2. Step 2: Convert to fraction form
    419,404.50/628,484.46 = 308,052.18/x
  3. Step 3: Cross multiply
    419,404.50x = 628,484.46 × 308,052.18
  4. Step 4: Simplify right side
    419,404.50x = 193,606,007,999.12
  5. Step 5: Solve for x
    x = 193,606,007,999.12/419,404.50
  6. Step 6: Final answer
    x = 461,621.20

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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.