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Finding the Fourth Proportional to 384,379.32, 576,291.78 and 234,584.40

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Solution

The fourth proportional to 384,379.32, 576,291.78 and 234,584.40 is: 351,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,379.32 : 576,291.78 = 234,584.40 : x
  2. Step 2: Convert to fraction form
    384,379.32/576,291.78 = 234,584.40/x
  3. Step 3: Cross multiply
    384,379.32x = 576,291.78 × 234,584.40
  4. Step 4: Simplify right side
    384,379.32x = 135,189,061,436.23
  5. Step 5: Solve for x
    x = 135,189,061,436.23/384,379.32
  6. Step 6: Final answer
    x = 351,707.43

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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.