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Finding the Fourth Proportional to 438,419.88, 657,241.02 and 213,654.60

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Solution

The fourth proportional to 438,419.88, 657,241.02 and 213,654.60 is: 320,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,419.88 : 657,241.02 = 213,654.60 : x
  2. Step 2: Convert to fraction form
    438,419.88/657,241.02 = 213,654.60/x
  3. Step 3: Cross multiply
    438,419.88x = 657,241.02 × 213,654.60
  4. Step 4: Simplify right side
    438,419.88x = 140,422,567,231.69
  5. Step 5: Solve for x
    x = 140,422,567,231.69/438,419.88
  6. Step 6: Final answer
    x = 320,292.43

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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.