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Finding the Fourth Proportional to 382,121.80, 571,821.90 and 332,744.20

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Solution

The fourth proportional to 382,121.80, 571,821.90 and 332,744.20 is: 497,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,121.80 : 571,821.90 = 332,744.20 : x
  2. Step 2: Convert to fraction form
    382,121.80/571,821.90 = 332,744.20/x
  3. Step 3: Cross multiply
    382,121.80x = 571,821.90 × 332,744.20
  4. Step 4: Simplify right side
    382,121.80x = 190,270,420,657.98
  5. Step 5: Solve for x
    x = 190,270,420,657.98/382,121.80
  6. Step 6: Final answer
    x = 497,931.34

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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.