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Finding the Fourth Proportional to 428,090.80, 641,675.40 and 161,748.40

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Solution

The fourth proportional to 428,090.80, 641,675.40 and 161,748.40 is: 242,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.80 : 641,675.40 = 161,748.40 : x
  2. Step 2: Convert to fraction form
    428,090.80/641,675.40 = 161,748.40/x
  3. Step 3: Cross multiply
    428,090.80x = 641,675.40 × 161,748.40
  4. Step 4: Simplify right side
    428,090.80x = 103,789,969,269.36
  5. Step 5: Solve for x
    x = 103,789,969,269.36/428,090.80
  6. Step 6: Final answer
    x = 242,448.49

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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.