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Finding the Fourth Proportional to 667,742.44, 921,534.50 and 413,241.64

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Solution

The fourth proportional to 667,742.44, 921,534.50 and 413,241.64 is: 570,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,742.44 : 921,534.50 = 413,241.64 : x
  2. Step 2: Convert to fraction form
    667,742.44/921,534.50 = 413,241.64/x
  3. Step 3: Cross multiply
    667,742.44x = 921,534.50 × 413,241.64
  4. Step 4: Simplify right side
    667,742.44x = 380,816,428,096.58
  5. Step 5: Solve for x
    x = 380,816,428,096.58/667,742.44
  6. Step 6: Final answer
    x = 570,304.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.