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Finding the Fourth Proportional to 500,455.82, 690,629.40 and 271,014.92

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Solution

The fourth proportional to 500,455.82, 690,629.40 and 271,014.92 is: 374,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,455.82 : 690,629.40 = 271,014.92 : x
  2. Step 2: Convert to fraction form
    500,455.82/690,629.40 = 271,014.92/x
  3. Step 3: Cross multiply
    500,455.82x = 690,629.40 × 271,014.92
  4. Step 4: Simplify right side
    500,455.82x = 187,170,868,137.50
  5. Step 5: Solve for x
    x = 187,170,868,137.50/500,455.82
  6. Step 6: Final answer
    x = 374,000.78

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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.