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Finding the Fourth Proportional to 381,945.82, 572,980.71 and 129,241.84

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Solution

The fourth proportional to 381,945.82, 572,980.71 and 129,241.84 is: 193,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,945.82 : 572,980.71 = 129,241.84 : x
  2. Step 2: Convert to fraction form
    381,945.82/572,980.71 = 129,241.84/x
  3. Step 3: Cross multiply
    381,945.82x = 572,980.71 × 129,241.84
  4. Step 4: Simplify right side
    381,945.82x = 74,053,081,244.91
  5. Step 5: Solve for x
    x = 74,053,081,244.91/381,945.82
  6. Step 6: Final answer
    x = 193,883.73

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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.