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Finding the Fourth Proportional to 254,996.41, 382,549.64 and 77,517.71

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Solution

The fourth proportional to 254,996.41, 382,549.64 and 77,517.71 is: 116,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,996.41 : 382,549.64 = 77,517.71 : x
  2. Step 2: Convert to fraction form
    254,996.41/382,549.64 = 77,517.71/x
  3. Step 3: Cross multiply
    254,996.41x = 382,549.64 × 77,517.71
  4. Step 4: Simplify right side
    254,996.41x = 29,654,372,622.91
  5. Step 5: Solve for x
    x = 29,654,372,622.91/254,996.41
  6. Step 6: Final answer
    x = 116,293.30

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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.