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Finding the Fourth Proportional to 384,249.20, 576,474.60 and 147,599.60

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Solution

The fourth proportional to 384,249.20, 576,474.60 and 147,599.60 is: 221,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,249.20 : 576,474.60 = 147,599.60 : x
  2. Step 2: Convert to fraction form
    384,249.20/576,474.60 = 147,599.60/x
  3. Step 3: Cross multiply
    384,249.20x = 576,474.60 × 147,599.60
  4. Step 4: Simplify right side
    384,249.20x = 85,087,420,370.16
  5. Step 5: Solve for x
    x = 85,087,420,370.16/384,249.20
  6. Step 6: Final answer
    x = 221,438.12

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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.