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Finding the Fourth Proportional to 384,414.80, 576,620.84 and 103,932

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Solution

The fourth proportional to 384,414.80, 576,620.84 and 103,932 is: 155,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,414.80 : 576,620.84 = 103,932 : x
  2. Step 2: Convert to fraction form
    384,414.80/576,620.84 = 103,932/x
  3. Step 3: Cross multiply
    384,414.80x = 576,620.84 × 103,932
  4. Step 4: Simplify right side
    384,414.80x = 59,929,357,142.88
  5. Step 5: Solve for x
    x = 59,929,357,142.88/384,414.80
  6. Step 6: Final answer
    x = 155,897.63

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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.