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Finding the Fourth Proportional to 667,660.94, 1,000,350.42 and 477,147.97

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Solution

The fourth proportional to 667,660.94, 1,000,350.42 and 477,147.97 is: 714,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,660.94 : 1,000,350.42 = 477,147.97 : x
  2. Step 2: Convert to fraction form
    667,660.94/1,000,350.42 = 477,147.97/x
  3. Step 3: Cross multiply
    667,660.94x = 1,000,350.42 × 477,147.97
  4. Step 4: Simplify right side
    667,660.94x = 477,315,168,709.77
  5. Step 5: Solve for x
    x = 477,315,168,709.77/667,660.94
  6. Step 6: Final answer
    x = 714,906.53

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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.