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Finding the Fourth Proportional to 384,672.32, 576,950.10 and 135,296

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Solution

The fourth proportional to 384,672.32, 576,950.10 and 135,296 is: 202,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672.32 : 576,950.10 = 135,296 : x
  2. Step 2: Convert to fraction form
    384,672.32/576,950.10 = 135,296/x
  3. Step 3: Cross multiply
    384,672.32x = 576,950.10 × 135,296
  4. Step 4: Simplify right side
    384,672.32x = 78,059,040,729.60
  5. Step 5: Solve for x
    x = 78,059,040,729.60/384,672.32
  6. Step 6: Final answer
    x = 202,923.47

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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.