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Finding the Fourth Proportional to 428,133.80, 642,006.30 and 161,805.80

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Solution

The fourth proportional to 428,133.80, 642,006.30 and 161,805.80 is: 242,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,133.80 : 642,006.30 = 161,805.80 : x
  2. Step 2: Convert to fraction form
    428,133.80/642,006.30 = 161,805.80/x
  3. Step 3: Cross multiply
    428,133.80x = 642,006.30 × 161,805.80
  4. Step 4: Simplify right side
    428,133.80x = 103,880,342,976.54
  5. Step 5: Solve for x
    x = 103,880,342,976.54/428,133.80
  6. Step 6: Final answer
    x = 242,635.23

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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.