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Finding the Fourth Proportional to 384,855.92, 577,377.75 and 271,225.33

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Solution

The fourth proportional to 384,855.92, 577,377.75 and 271,225.33 is: 406,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,855.92 : 577,377.75 = 271,225.33 : x
  2. Step 2: Convert to fraction form
    384,855.92/577,377.75 = 271,225.33/x
  3. Step 3: Cross multiply
    384,855.92x = 577,377.75 × 271,225.33
  4. Step 4: Simplify right side
    384,855.92x = 156,599,468,063.59
  5. Step 5: Solve for x
    x = 156,599,468,063.59/384,855.92
  6. Step 6: Final answer
    x = 406,904.14

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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.