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Finding the Fourth Proportional to 500,468.98, 690,647.56 and 271,028.04

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Solution

The fourth proportional to 500,468.98, 690,647.56 and 271,028.04 is: 374,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,468.98 : 690,647.56 = 271,028.04 : x
  2. Step 2: Convert to fraction form
    500,468.98/690,647.56 = 271,028.04/x
  3. Step 3: Cross multiply
    500,468.98x = 690,647.56 × 271,028.04
  4. Step 4: Simplify right side
    500,468.98x = 187,184,854,517.58
  5. Step 5: Solve for x
    x = 187,184,854,517.58/500,468.98
  6. Step 6: Final answer
    x = 374,018.89

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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.