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Finding the Fourth Proportional to 468,243, 645,969.42 and 274,551.84

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Solution

The fourth proportional to 468,243, 645,969.42 and 274,551.84 is: 378,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,243 : 645,969.42 = 274,551.84 : x
  2. Step 2: Convert to fraction form
    468,243/645,969.42 = 274,551.84/x
  3. Step 3: Cross multiply
    468,243x = 645,969.42 × 274,551.84
  4. Step 4: Simplify right side
    468,243x = 177,352,092,844.73
  5. Step 5: Solve for x
    x = 177,352,092,844.73/468,243
  6. Step 6: Final answer
    x = 378,760.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.