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Finding the Fourth Proportional to 384,642.60, 576,791.10 and 147,906.60

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Solution

The fourth proportional to 384,642.60, 576,791.10 and 147,906.60 is: 221,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,642.60 : 576,791.10 = 147,906.60 : x
  2. Step 2: Convert to fraction form
    384,642.60/576,791.10 = 147,906.60/x
  3. Step 3: Cross multiply
    384,642.60x = 576,791.10 × 147,906.60
  4. Step 4: Simplify right side
    384,642.60x = 85,311,210,511.26
  5. Step 5: Solve for x
    x = 85,311,210,511.26/384,642.60
  6. Step 6: Final answer
    x = 221,793.45

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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.