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Finding the Fourth Proportional to 419,385.93, 628,456.81 and 308,033.61

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Solution

The fourth proportional to 419,385.93, 628,456.81 and 308,033.61 is: 461,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,385.93 : 628,456.81 = 308,033.61 : x
  2. Step 2: Convert to fraction form
    419,385.93/628,456.81 = 308,033.61/x
  3. Step 3: Cross multiply
    419,385.93x = 628,456.81 × 308,033.61
  4. Step 4: Simplify right side
    419,385.93x = 193,585,819,913.38
  5. Step 5: Solve for x
    x = 193,585,819,913.38/419,385.93
  6. Step 6: Final answer
    x = 461,593.50

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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.