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Finding the Fourth Proportional to 254,710.20, 381,158.10 and 221,791.80

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Solution

The fourth proportional to 254,710.20, 381,158.10 and 221,791.80 is: 331,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,710.20 : 381,158.10 = 221,791.80 : x
  2. Step 2: Convert to fraction form
    254,710.20/381,158.10 = 221,791.80/x
  3. Step 3: Cross multiply
    254,710.20x = 381,158.10 × 221,791.80
  4. Step 4: Simplify right side
    254,710.20x = 84,537,741,083.58
  5. Step 5: Solve for x
    x = 84,537,741,083.58/254,710.20
  6. Step 6: Final answer
    x = 331,897.75

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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.