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Finding the Fourth Proportional to 419,390.56, 628,463.72 and 308,038.24

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Solution

The fourth proportional to 419,390.56, 628,463.72 and 308,038.24 is: 461,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.56 : 628,463.72 = 308,038.24 : x
  2. Step 2: Convert to fraction form
    419,390.56/628,463.72 = 308,038.24/x
  3. Step 3: Cross multiply
    419,390.56x = 628,463.72 × 308,038.24
  4. Step 4: Simplify right side
    419,390.56x = 193,590,858,212.65
  5. Step 5: Solve for x
    x = 193,590,858,212.65/419,390.56
  6. Step 6: Final answer
    x = 461,600.42

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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.