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Finding the Fourth Proportional to 428,096.80, 641,684.40 and 161,754.40

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Solution

The fourth proportional to 428,096.80, 641,684.40 and 161,754.40 is: 242,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,096.80 : 641,684.40 = 161,754.40 : x
  2. Step 2: Convert to fraction form
    428,096.80/641,684.40 = 161,754.40/x
  3. Step 3: Cross multiply
    428,096.80x = 641,684.40 × 161,754.40
  4. Step 4: Simplify right side
    428,096.80x = 103,795,275,111.36
  5. Step 5: Solve for x
    x = 103,795,275,111.36/428,096.80
  6. Step 6: Final answer
    x = 242,457.49

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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.