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Finding the Fourth Proportional to 428,143.80, 642,021.30 and 161,815.80

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Solution

The fourth proportional to 428,143.80, 642,021.30 and 161,815.80 is: 242,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,143.80 : 642,021.30 = 161,815.80 : x
  2. Step 2: Convert to fraction form
    428,143.80/642,021.30 = 161,815.80/x
  3. Step 3: Cross multiply
    428,143.80x = 642,021.30 × 161,815.80
  4. Step 4: Simplify right side
    428,143.80x = 103,889,190,276.54
  5. Step 5: Solve for x
    x = 103,889,190,276.54/428,143.80
  6. Step 6: Final answer
    x = 242,650.23

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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.