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Finding the Fourth Proportional to 384,873.88, 577,163.20 and 132,107.28

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Solution

The fourth proportional to 384,873.88, 577,163.20 and 132,107.28 is: 198,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,873.88 : 577,163.20 = 132,107.28 : x
  2. Step 2: Convert to fraction form
    384,873.88/577,163.20 = 132,107.28/x
  3. Step 3: Cross multiply
    384,873.88x = 577,163.20 × 132,107.28
  4. Step 4: Simplify right side
    384,873.88x = 76,247,460,468.10
  5. Step 5: Solve for x
    x = 76,247,460,468.10/384,873.88
  6. Step 6: Final answer
    x = 198,110.25

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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.