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Finding the Fourth Proportional to 384,862.25, 577,387.27 and 271,231.54

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Solution

The fourth proportional to 384,862.25, 577,387.27 and 271,231.54 is: 406,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,862.25 : 577,387.27 = 271,231.54 : x
  2. Step 2: Convert to fraction form
    384,862.25/577,387.27 = 271,231.54/x
  3. Step 3: Cross multiply
    384,862.25x = 577,387.27 × 271,231.54
  4. Step 4: Simplify right side
    384,862.25x = 156,605,638,418.50
  5. Step 5: Solve for x
    x = 156,605,638,418.50/384,862.25
  6. Step 6: Final answer
    x = 406,913.48

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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.