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Finding the Fourth Proportional to 384,877.73, 577,410.48 and 271,247.09

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Solution

The fourth proportional to 384,877.73, 577,410.48 and 271,247.09 is: 406,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,877.73 : 577,410.48 = 271,247.09 : x
  2. Step 2: Convert to fraction form
    384,877.73/577,410.48 = 271,247.09/x
  3. Step 3: Cross multiply
    384,877.73x = 577,410.48 × 271,247.09
  4. Step 4: Simplify right side
    384,877.73x = 156,620,909,548.45
  5. Step 5: Solve for x
    x = 156,620,909,548.45/384,877.73
  6. Step 6: Final answer
    x = 406,936.80

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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.