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Finding the Fourth Proportional to 384,856.92, 577,379.25 and 271,226.33

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Solution

The fourth proportional to 384,856.92, 577,379.25 and 271,226.33 is: 406,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,856.92 : 577,379.25 = 271,226.33 : x
  2. Step 2: Convert to fraction form
    384,856.92/577,379.25 = 271,226.33/x
  3. Step 3: Cross multiply
    384,856.92x = 577,379.25 × 271,226.33
  4. Step 4: Simplify right side
    384,856.92x = 156,600,454,995.65
  5. Step 5: Solve for x
    x = 156,600,454,995.65/384,856.92
  6. Step 6: Final answer
    x = 406,905.65

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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.