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Finding the Fourth Proportional to 667,585.75, 997,713.48 and 488,049.13

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Solution

The fourth proportional to 667,585.75, 997,713.48 and 488,049.13 is: 729,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,585.75 : 997,713.48 = 488,049.13 : x
  2. Step 2: Convert to fraction form
    667,585.75/997,713.48 = 488,049.13/x
  3. Step 3: Cross multiply
    667,585.75x = 997,713.48 × 488,049.13
  4. Step 4: Simplify right side
    667,585.75x = 486,933,195,903.27
  5. Step 5: Solve for x
    x = 486,933,195,903.27/667,585.75
  6. Step 6: Final answer
    x = 729,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.