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Finding the Fourth Proportional to 384,872.54, 577,402.65 and 271,241.82

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Solution

The fourth proportional to 384,872.54, 577,402.65 and 271,241.82 is: 406,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,872.54 : 577,402.65 = 271,241.82 : x
  2. Step 2: Convert to fraction form
    384,872.54/577,402.65 = 271,241.82/x
  3. Step 3: Cross multiply
    384,872.54x = 577,402.65 × 271,241.82
  4. Step 4: Simplify right side
    384,872.54x = 156,615,745,658.82
  5. Step 5: Solve for x
    x = 156,615,745,658.82/384,872.54
  6. Step 6: Final answer
    x = 406,928.87

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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.