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Finding the Fourth Proportional to 384,410.80, 576,614.84 and 103,928

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Solution

The fourth proportional to 384,410.80, 576,614.84 and 103,928 is: 155,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,410.80 : 576,614.84 = 103,928 : x
  2. Step 2: Convert to fraction form
    384,410.80/576,614.84 = 103,928/x
  3. Step 3: Cross multiply
    384,410.80x = 576,614.84 × 103,928
  4. Step 4: Simplify right side
    384,410.80x = 59,926,427,091.52
  5. Step 5: Solve for x
    x = 59,926,427,091.52/384,410.80
  6. Step 6: Final answer
    x = 155,891.63

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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.