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Finding the Fourth Proportional to 547,396.25, 821,138.31 and 192,489.89

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Solution

The fourth proportional to 547,396.25, 821,138.31 and 192,489.89 is: 288,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,396.25 : 821,138.31 = 192,489.89 : x
  2. Step 2: Convert to fraction form
    547,396.25/821,138.31 = 192,489.89/x
  3. Step 3: Cross multiply
    547,396.25x = 821,138.31 × 192,489.89
  4. Step 4: Simplify right side
    547,396.25x = 158,060,818,860.99
  5. Step 5: Solve for x
    x = 158,060,818,860.99/547,396.25
  6. Step 6: Final answer
    x = 288,750.28

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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.