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Finding the Fourth Proportional to 305,329.73, 457,382.22 and 155,563.97

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Solution

The fourth proportional to 305,329.73, 457,382.22 and 155,563.97 is: 233,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,329.73 : 457,382.22 = 155,563.97 : x
  2. Step 2: Convert to fraction form
    305,329.73/457,382.22 = 155,563.97/x
  3. Step 3: Cross multiply
    305,329.73x = 457,382.22 × 155,563.97
  4. Step 4: Simplify right side
    305,329.73x = 71,152,191,663.70
  5. Step 5: Solve for x
    x = 71,152,191,663.70/305,329.73
  6. Step 6: Final answer
    x = 233,033.95

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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.