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Finding the Fourth Proportional to 384,648.57, 576,914.54 and 135,272.25

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Solution

The fourth proportional to 384,648.57, 576,914.54 and 135,272.25 is: 202,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,648.57 : 576,914.54 = 135,272.25 : x
  2. Step 2: Convert to fraction form
    384,648.57/576,914.54 = 135,272.25/x
  3. Step 3: Cross multiply
    384,648.57x = 576,914.54 × 135,272.25
  4. Step 4: Simplify right side
    384,648.57x = 78,040,527,207.15
  5. Step 5: Solve for x
    x = 78,040,527,207.15/384,648.57
  6. Step 6: Final answer
    x = 202,887.87

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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.