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Finding the Fourth Proportional to 384,861.25, 577,385.77 and 271,230.54

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Solution

The fourth proportional to 384,861.25, 577,385.77 and 271,230.54 is: 406,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,861.25 : 577,385.77 = 271,230.54 : x
  2. Step 2: Convert to fraction form
    384,861.25/577,385.77 = 271,230.54/x
  3. Step 3: Cross multiply
    384,861.25x = 577,385.77 × 271,230.54
  4. Step 4: Simplify right side
    384,861.25x = 156,604,656,316.42
  5. Step 5: Solve for x
    x = 156,604,656,316.42/384,861.25
  6. Step 6: Final answer
    x = 406,911.98

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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.